Contradiction with Romans 13:1
While Acts 5:17 describes religious leaders being filled with indignation and arresting apostles for teaching, Romans 13:1 emphasizes submission to governing authorities, suggesting they are instituted by God and should not be resisted.
Romans 13:1: Let every soul be subject unto the higher powers. For there is no power but of God: the powers that be are ordained of God. [ordained: or, ordered]
Contradiction with 1 Peter 2:13-14
Acts 5:17 describes opposition to the apostles by religious leaders, whereas 1 Peter 2:13-14 advises submission to every human institution for the Lord's sake, including to governors as sent by Him.
1 Peter 2:13-14: Submit yourselves to every ordinance of man for the Lord's sake: whether it be to the king, as supreme;
Contradiction with Proverbs 16:7
Acts 5:17 shows the apostles facing opposition, yet Proverbs 16:7 states when a person's ways please the Lord, He makes even their enemies be at peace with them, suggesting the apostles should not have faced such hostility.
Proverbs 16:7: When a man's ways please the LORD, he maketh even his enemies to be at peace with him.