These verses explain what the Catholic Church teaches: that men have a tendency to sin and nearly all sin. But some do not sin: Christ Himself, Mary, most likely St. John the Baptist, Noah, children before reaching the age of reason, mentally ill...
Psalm 14 is by the way the psalm that St. Paul quotes in Romans 3. The next psalm describes men “without blemish”. The bible simply does not teach that all men have sinned without exception.
Respectfully....you need to get out of the catholic church if that is what they are teaching you. Multiple verses that don't suggest men have a tendency to sin. These verses confirm men sin....and that all have...except Christ.
But, let's examine some of these examples you cite as maybe not sinning.
Noah
The bible records Noah found favor in the eyes of the Lord. He was righteous and blameless in his time. However in Genesis 9:21 the Bible notes Noah got drunk. So Noah sinned.
John 1:29
...."Behold, the Lamb of God who takes away the sin of the world."
Sure sounds like John understood the world was full of sinners.
Mary
Luke 1:46-47
My soul exalts the Lord, and my spirit has rejoiced in God my Savior. For He has had regard for the humble state of His bondslave.
Mary understood she needed a Savior and that was going to be her Son....Jesus Christ.
Ever seen small kids? Ask any parent...they'll tell you the kiddies are sinners.
The Bible is clear on this...All have sinned and fallen short of the glory of God.
Of course it does! ALL have sinned. NO person is sinless but the God/man Jesus Christ. Some people are WORSE sinners than others, but everyone sins. If ANY person was without sin, he/she could have saved Jesus the trouble and died for all the sinners instead of him. Are there some people not conscious of their sin like children or the mentally impaired? Yes, and we trust the grace of God to deal with them in His love and mercy. But, to say the Bible doesn't teach that all mankind has sinned is simply false. Here are just a few places this is taught:
You really need to throw that Douay-Rheims Bible in the trash. Psalm 1:2 does NOT say "without blemish".
Psalm 15:2 He who is walking uprightly, And working righteousness, And speaking truth in his heart.
Besides, Psalm 15 is simply talking about who may dwell in God's sacred tent. It does NOT say anyone alive was able to do that.