Contradiction with 2 Kings 24:14
King Nebuchadnezzar exiled all the craftsmen and smiths from Jerusalem, contradicting the idea of Cyrus allowing rebuilding efforts.
2 Kings 24:14: And he carried away all Jerusalem, and all the princes, and all the mighty men of valour, [even] ten thousand captives, and all the craftsmen and smiths: none remained, save the poorest sort of the people of the land.
Contradiction with Daniel 1:1-2
The vessels of the house of God were taken to Babylon by Nebuchadnezzar, opposing the notion of temple restoration efforts initiated by Cyrus as per Ezra 5:13.
Daniel 1:1-2: In the third year of the reign of Jehoiakim king of Judah came Nebuchadnezzar king of Babylon unto Jerusalem, and besieged it.
Contradiction with Jeremiah 52:12-14
Describes the destruction of Jerusalem by the Babylonians, contradicting the rebuilding decree issued by Cyrus in Ezra 5:13.
Jeremiah 52:12-14: Now in the fifth month, in the tenth [day] of the month, which [was] the nineteenth year of Nebuchadrezzar king of Babylon, came Nebuzaradan, captain of the guard, [which] served the king of Babylon, into Jerusalem, [captain...: or, chief marshal: Heb. chief of the executioners, or, slaughtermen] [served: Heb. stood before]