The order in The Holy Bible In Its Original Order is very wrong. Just because it is referred to as the law and the prophets and the writings doesn't mean it was written in that order. Also, Chronicles was written at the same time as Kings. Now the rest of the acts of Abijam, and all that he did, are they not written in the book of the chronicles of the kings of Judah? 1Kings 15:7 34 times in Kings it says the rest of the acts of so and so are written in the book of chronicles.
And they drew out the staves of the ark, that the ends of the staves were seen from the ark before the oracle; but they were not seen without. And there it is unto this day. 2 Chronicles 5:9 A similar saying is mentioned a number of times in Chronicles and would not make sense if it was written after the Babylonian captivity.
As to the New Testament, knowledgeable people know that John wrote his writings later than any other author. Also, Peter wrote his writings after Paul because he said-- And account that the longsuffering of our Lord is salvation; even as our beloved brother Paul also according to the wisdom given unto him hath written unto you; as also in all his epistles, speaking in them of these things; in which are some things hard to be understood, which they that are unlearned and unstable wrest, as they do also the other scriptures, unto their own destruction. 2 Peter 3:15-16