Yes it does. Just go to the LDS Church web site (www.lds.org), select Search, and in the box labeled "Search the Gospel Library Archive", enter the search word(s) of interest. In most case, you will find numerous talks and articles that discuss the questions you raise.
What does it mean to a Mormon when he/she said that they are "born-again" or
Go to the Church web site and search on the term "born again." Or the next time a "Mormon" says that to you, ask him or her what he means.
If the Book of Mormon was translated by the gift and power of God, why have the Mormons changed it? (There have been over 3,000 changes in the Book of Mormon, exclusive of punctuation changes).
I thought it was 4,000 changes. At any rate, you can go to the LDS Church web site and search for "Book of Mormon changes". Other articles can be found here.
If God speaks through a prophet, why do Mormons vote on whether or not to receive and authorize it?
On the LDS Church web site, search for the term "common consent". You will find numerous talks and articles that discuss this.
Why is it that no other writings have been found in the language of “Reformed Egyptian”, the supposed language of the Book of Mormon plates? Is there evidence that such a language really existed?
On the Church web site, search for "Reformed Egyptian."
Joseph Smith said that there are men living on the moon who dress like Quakers and live to be nearly 1000 years old. Since he was wrong about the moon, is it safe to trust him regarding the way to heaven? (See The Young Woman’s Journal, Vol 3, pages 263, 264.)
I have not been able to find an answer to this one the LDS Church site. However, the story is discussed here and here.
Why do Mormons not study Hebrew and Greek so that they can intelligently discuss the accuracy of the translation of the Bible?
Some do study those languages and other ancient languages. Many fine scholars of ancient languages are members of the LDS Church. The rest of us are busy with other concerns.
Joseph Smith prepared fourteen Articles of Faith. Why has the original No. 11 been omitted?
The charge is false. See the discussion here.
If Mormonism came as a revelation from God, why are the Mormon Temple Oaths almost identical to the oaths of the Masonic Lodge?
I am not a Mason, so I cannot discuss any resemblance between the two rituals. However, someone who is well acquainted with both the Masonic Lodge and the LDS Temple discusses this question here.
Why can't Mormons drink hot liquids? (Coffee/Tea) Why did Joseph Smith condemn drinking yet indulge himself according to his published diary?
On the LDS Church web site, search for "Word of Wisdom commandment". You will find numerous articles. I recommend the speech by Ezra Taft Benson, “A Principle with a Promise,” (Ensign, May 1983).
Basically the bottom is this;
Is Joseph Smith really a prophet of God or not?
How do we know if some is a true or false prophet of God?
Deuteronomy 18
20But the prophet, which shall presume to speak a word in my name, which I have not commanded him to speak, or that shall speak in the name of other gods, even that prophet shall die. 21And if thou say in thine heart, How shall we know the word which the LORD hath not spoken? 22When a prophet speaketh in the name of the LORD, if the thing follow not, nor come to pass, that is the thing which the LORD hath not spoken, but the prophet hath spoken it presumptuously: thou shalt not be afraid of him.
Also
The fulfillment of a prophecy cannot be delayed long. "They ... say, The vision that he seeth is for many days to come, and he prophesieth of the times that are far off. Therefore say unto them, Thus saith the Lord God: There shall none of my words be prolonged any more, but the word which I have spoken shall be done, saith the Lord God." Ezek 12:21-28
Can even a "true" prophet have false revelations? Even Joseph Smith had to admit that some of his "revelations" might be of man or even of the devil. Comp Hist 1:165. This is contradictory in concept to the Deuteronomy 18:22 test, which says that the failure of the test indicates that the prophet is false. Joseph Smith here implies that the prophecy may be false, but the prophet himself is apparently still a prophet. One might ask then, what good is a prophet? Hyrum Smith, who was also a "prophet," on Nov 1, 1831, commented about prophecy and said that "if you hit once in 10 times, that is alright." [quoted by Abraham O. Smoot in 1868 at the Provo School of the Prophets] This also is a contradiction of Deut 18:22. Note that the prophecies and promises which are in the D&C "shall all be fulfilled." If even one remains unfulfilled, then this also is a false prophecy. D&C 1:37
A few of Joseph Smith’s unfilfilled prophecies;
Feb 14, 1835. HC 2:182. Joseph Smith preached that the coming of the Lord would be in 56 years (i.e., about 1891). This prophecy also occurs in his diary for April 6, 1843 and HC 5:336. See also D&C 130:14-17. Joseph Smith prophesies that "there of those of the rising generation who shall not taste death till Christ comes." He prophesies "in the name of the Lord God - let it be written: that the Son of Man will not come in the heavens till I am 85 years old, 48 years hence or about 1890." (The official historians have deleted the last phrase, beginning with "48 years" from the church history, but it is contained in the original diary.) The version in D&C 130 is phrased negatively, i.e., Christ will not come before 1890. It is also made conditional on Joseph Smith living to the age of 85. Joseph Smith says (v 16) that it might merely mean that if he lives to 85 he will go where Christ is, and therefore see his face. But that interpretation would not make sense if the revelation is in response to Joseph Smith's inquiry about the time of the second coming (v 14).
FULFILLMENT: The second coming did not occur about 1891, and the Church does not claim that it did. Nor has it occurred since. Joseph Smith did not live to be 85 years old. God must have known that he would not. Why would God make a revelation conditional upon an event which he knew would never happen? NATIONS SHALL TREMBLE: Nov 3, 1831. D&C 133:42 "...all nations shall tremble at thy presence."
FULFILLMENT: No one can claim that all nations tremble at the presence of the Mormons.
NEW YORK WILL BE DESTROYED: Sept 22-23, 1832. D&C 84:114-115. New York, Albany and Boston will be destroyed if they reject the gospel. The "hour of their judgment is nigh..."
FULFILLMENT: Newell K. Whitney and Joseph Smith went to New York, Albany, and Boston and preached there. These cities did not accept the gospel. They have not been destroyed.
THE END OF ALL NATIONS: Dec 25, 1832. D&C 87. Prophecy of the rebellion of South Carolina, war between the states. The South will call on Great Britain for aid, and as a result war will be poured out upon all nations; slaves will revolt; the inhabitants of the earth shall mourn; famine, plague, earthquake, thunder, lightning, and a full end of all nations will result.
FULFILLMENT: This prophecy is the one most often cited by Mormons to prove Joseph Smith's prophetic power. However, most Mormons are unaware of the political situation in America at the time it was made. In November 1832 South Carolina had declared its power to "nullify" any federal act, and President Jackson was prepared to go to war to enforce federal authority. Most people expected war. Thus the "prophecy" did no more than reflect commonly held opinion. Even when the South did finally revolt, in 1861, although Great Britain came to its assistance, other elements of the prophecy were not fulfilled: slaves did not rise up, war was not poured out upon all nations, there was no world- wide famine, plague, earthquake, etc., and there was no resulting "end of all nations." Morris, PJS, contends that World War I, the associated famines, the 1918 influenza epidemic, fulfill this prophecy. But these are not as a result of the American Civil War. (see Chron JS, Dec 1832) Not even Morris claims that there were earthquakes because of it.
KIRTLAND'S MORMON BANK WILL PROSPER: Jan 1837. LDS Mess & Adv. 3:443 Joseph Smith says it is "wisdom and according to the mind of the Holy Spirit" that the saints should invest in the Kirtland Safety Society. Wilford Woodruff's journal Jan 6, 1837, records that Joseph Smith declared "that he [Joseph Smith] had received that morning the word of the Lord upon the subject of the Kirtland Safety Society," and that "if we would give heed to the commandments the Lord had given this morning all would be well." [cited in Tanner, MSR 531] John F. Boynton, apostle, said that he understood that the bank was established because it was the will of God (HC 2:509-510) Joseph Smith prophesied that like Aaron's rod the bank would swallow up other banks "and grow and flourish ... and survive when all others should be laid in ruins." Zion's Watchman March 24, 1838 [cited in Brodie p 195]
FULFILLMENT: The Kirtland Safety Society Bank, renamed the Anti- Banking Company, was organized Nov 2, 1836. It failed to receive a charter from the state, and Joseph Smith and S. Rigdon were convicted and fined $1000 for illegal banking. The bank failed miserably. Those who had invested in it lost their investment. (Comp Hist 1:401-402)
May I suggest;
Losing a Lost Tribe: Native Americans, DNA, and the Mormon Church by Simon G. Southerton (DNA scientist, former Mormon bishop), Signature Books, 2004
Mormonism: Shadow or Reality by Gerald and Sandra Tanner, 5th edition, Utah Lighthouse Ministry, 1987, Salt Lake City. The Tanners have done extensive research on early Mormon history and made many rare publications available by publishing photocopies of them at a low price. Sandra, is a great-great-granddaughter of Brigham Young. And both her and her husband were born into Mormonism.
No Man Knows My History: The Life of Joseph Smith by Fawn M. Brodie, 2nd ed., Knopf, New York, 1993. The most authoritative biography of Joseph Smith. Brodie is a well recognized historian.
Farewell to Eden: Coming to Terms With Mormonism and Science by Duwayne R. Anderson, Authorhouse, 2003 - a scientist and former Mormon examines Mormonism's scientific claims
An American Prophet's Record: The Diaries and Journals of Joseph Smith (2nd ed) (Paperback) on Amazon
Oh and the Bible