Contradiction with John 14:6
John 14:6 emphasizes that Jesus is the only way, reflecting exclusivity, which contrasts with the notion of any valid entry through the door.
John 14:6: Jesus saith unto him, I am the way, the truth, and the life: no man cometh unto the Father, but by me.
Contradiction with Matthew 7:13
Matthew 7:13 speaks of a narrow gate, suggesting restriction, in contrast to accessibility implied in coming through the door in John 10:2.
Matthew 7:13: Enter ye in at the strait gate: for wide [is] the gate, and broad [is] the way, that leadeth to destruction, and many there be which go in thereat: [strait: or, narrow]
Contradiction with Romans 3:23
Romans 3:23 underscores universal sinfulness, which can be seen as contradicting the purity of entry implied in John 10:2.
Romans 3:23: For all have sinned, and come short of the glory of God;
Contradiction with John 8:44
John 8:44 describes followers of the devil as thieves and liars, which may contrast with the legitimacy of entering by the door in John 10:2.
John 8:44: Ye are of [your] father the devil, and the lusts of your father ye will do. He was a murderer from the beginning, and abode not in the truth, because there is no truth in him. When he speaketh a lie, he speaketh of his own: for he is a liar, and the father of it. [of his own: or, from his own will or disposition]