...are really not the central issue in why the Bible is not considered reliable information.
The issue is that it was written thousands of years ago by people who had no understanding of even the most basic facts about the world around them. They didn't know that microorganisms cause disease, or the the world is spherical and orbits the sun, or that humans have only existed for the merest blip on the time scale of the universe.
The Bible is mythology, the attempt by primitive humans to make sense of things by casting them in terms of angry deities and protector gods. In that sense, the biblical god is no different from the gods of the Greeks, Egyptians or Sumerians.
What it comes down to is this: Why should we believe a word the Bible says? If something in the Bible is true, it can be shown to true without using the Bible. If Jesus walked the earth at all, why are there no other records of him? If hundreds of people witnessed a dead man come back to life (which would be pretty big news), why did that not find its way into any other historical accounts? If the Egyptians have one of the best-documented histories of any ancient civilization, why do they have no record of ever taking the Hebrews as slaves?
Whether or not the Bible is false is not the issue; the issue is that it can't be shown to be true. It must be assumed to be true, to be taken on faith. Why should we do that?
The answer to the contradiction involving the age of Jehoiachin goes as follows: The Bible gives two different ages for when he became king because he became king twice. Great! Did we discover historical records confirming that he became king twice, thus putting to rest the idea that one of the Bible passages might simply be wrong? No. We say that he MUST have become king twice because the Bible MUST be true.
Apologists will not accept the possibility that the Bible might be slightest bit wrong on anything; they just assume it's always right, for no reason.
I'm not willing to assume that. I don't give the same benefit of the doubt to the Koran or to Homer or to Norse mythology. Why should I do so with the Bible?
You want me to believe that any idea expressed in the Bible is true? Demonstrate that it's true.