Again I may be wrong, but if he has no method of establishing something and therefore cannot or does not believe it, isn't he incredulous about it?
As I said earlier: you are wrong.
The three gospel accounts agree; the cyclist could be found guilty of causing death by dangerous driving, which is not trivial if the punishment for this is imprisonment. That is the reason for requiring the evidence of two or more witnesses to agree.
Their evidence still may be wrong, and juries are fallible too. However, when it comes to recent events for which there is corroboration: a damaged bicycle or injuries requiring treatment then it may be the evidence is credible, especially since the provenance can be explored.
The situation differs though when it comes to ancient anecdotes of uncertain provenance: in such cases scepticism is well advised since the risks of mistakes or lies can't be practically addressed. Therefore historians don't report that Jesus was resurrected since they have no method to investigate this, so they report that people believed he was (which isn't the same thing).
That NS was pointing out to you that your claim isn't amenable to historical research methods isn't a fallacy of personal incredulity - do you get it now?
It's a matter of fact that evidence from different witnesses will contain different details.
Therefore scepticism is advisable, along with methods to investigate both the claim and any differences in accounts.
As previously discussed, the authors had nothing to gain from inventing the accounts. This argues against the stories being invented.
Unless I'm mistaken the stories about Jesus portray him as divine: ever heard of propaganda. That early Christians were somehow immune from human artifice sounds awfully like special pleading - and even then, as noted, their claims aren't amenable to investigation, so scepticism is advised.
As for the evidence being mistaken, see the link: <<The fact that the gospels were records of sermons to the early church community strengthens the case for historical reliability because the community itself would exercise a form of check and balance with the historical record.>>
Only if you think these early Christians were infallible: I don't think anyone is infallible.