Two scenarios that may/may not happen.

[FatAndFaithless]

Proving evolution false does not prove anything else is true. You need actual evidence to prove an assertion, not just the negation of another independent one. If evolution was proven false, why doesn't that prove the hindu creation stories, or the scientologist one, or the zoroastrian one? The theory of evolution and the christian creation myths are not the only two possibilities.

There very well might have been a guy named Jesus running around at that time, but that says nothing of the claims of his words, deeds, supernatural powers, and divinity. You're right, just because something isn't written down doesn't mean it didn't happen or didn't exist... but also, just because something IS written down by someone doesn't mean it actually happened, or happened at that time in that way.