Consider the beginning of the book of Judith:
In the twelfth year of king Nebuchadnezzar, who ruled Assyria in the great city of Nineveh, in the days of Arphaxad, who ruled the Medes in Ecbatana. (Judith 1:1)Nebuchadnezzar, was the king of Babylon, not Assyria and ruled from Babylon, not Nineveh.
Likewise, 1 Esdras scrambles the order of the Persian kings.
This is not to say that there are not historical difficulties with biblical books, but they are nothing like the historical problems of some of the apocrypha.