Correct. The 14th amendment does not confer any new responsibility upon the states in regard to the bill of rights. The states were already obligated to refrain from infringing upon rights reserved to the people as the tenth amendment states explicitly.
Laughably wrong.
"But it is universally understood, it is a part of the history of the day, that the great revolution which established the constitution of the United States, was not effected without immense opposition. Serious fears were extensively entertained that those powers which the patriot statesmen, who then watched over the interests of our country, deemed essential to union, and to the attainment of those invaluable objects for which union was sought, might be exercised in a manner dangerous to liberty. In almost every convention by which the constitution was adopted, amendments to guard against the abuse of power were recommended. These amendments demanded security against the apprehended encroachments of the general government--not against those of the local governments." --United States Supreme Court, Barron v. Mayor & City Council of Baltimore, 32 U.S. 243 (1833)