Pete.. Jack has answered you point by point. I can't add much to that part.

but this!:
"... the difference is, is that there is no reason to doubt it other than a desire to repudiate the biblical witness.......which of course atheists/evolutionists aim to do."

That is both nonsense and unfair! *I* doubt it, and you have seen fit to debate with me as if *I* was being fair & reasonable.
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"the perfection of adam would also make it highly likely that he would be able to record history, and also his descendants following."

"the other difference is that the passing of oral and written history down generations is testable and observable in living memory"

And that is a paradigm example of a fallacy.... you USE the idea of "Adam's perfection", which is itself in doubt, to draw a conclusion about what such 'assumed' perfection might entail, then you base a 'belief' on TWO assumptions.
Pete.. I have done some genealogical research into my own family where things were written down in church records and in official marriage & death records kept by the bureaucracy, and there are still discrepancies where there were confusing names, multiple marriages, or just poor handwriting on documents. I 'think' I have some idea of who most of my ancestors were in the last 200 years, but some records are just not clear. You simply WANT to believe that Adam... or anyone back then... had the time, resources... and pure luck... to keep an accurate record for that many generations!

And about radiocarbon... your explanation of its flaws is that of someone who just does not understand the science involved... and clearly, you are, as you suggest about others, "predisposed to slight it".