Thank you for actually looking things up my friend.
You're right about the flood and I'll even grant you're right on all points (except Sodom and Gomorrah, it's unlikely that Barbarian hordes would've killed every person there at the same time without the use of any weapons whatsoever; there was not the slightest hint of battle or even death by trauma/bleeding on any of the bodies), but that's where Faith comes in. If there were 100% verifiable absolute proof, then nothing would be required of us, God would be as mundane as the presence of the moon or the sky's color. For something to have meaning, it must require effort, self sacrifice, and I believe that this is the reason God doesn't just show up and go "It's me, Jesus, lol"; that would rob of us of our own choice, our own effort, our own faith. There's also nothing saying God didn't work within the natural order he created here on earth. The 10 plagues of Egypt for instance were recorded in Egyptian, Hebrew, and I believe even Phoenecian records (I won't pretend I'm -certain- about the Phoenecian, which I'm also probably misspelling) and even if it was red clay dumping into the Nile, turning it to "the color of blood," which drove out frogs which caused an increase in insect population etc. etc. etc., that doesn't account for the timing. How could all those things have been happening at the same time Moses was confronting the Pharoh about the enslavement of the Israelites? God doesn't always utterly circumvent the natural order He created, sometimes He works within it but with miraculous timing.