If that is the case, do you remember the infinite number of lives you have lived? No? Then it is irrelevant from your point of view, in this case they would be indistinguishable and therefore can be counted as a singular event rather than an infinite series. 1x1x1x1=1.

Mathematically, yes. Practically? No. Mathematically, it’s possible for a monkey with a typewriter to write the cure for cancer complete with steps for synthesis, the chemistry, formulas, etc etc. But even in the face of infinite, it’s not going to happen - even if the math works out.

No. With an infinite process each rendition would be something new ad infinitum. It takes extraordinarily very little to have extremely massive changes. Considering we'd have a different scenario every time; the chances of earth being a thing much less very broadly close to what it is now (and I don't think you fathom what I mean by broadly) would be such a small percentage that we can say it's not possible. It's not possible. You're only giving it a percentage because that's how math works. Truthfully though nobody has any clue on how any of this stuff works and they are all outlandish hypotheticals. We are still dumb apes poking at fire with sticks. We know very little about the nature of our reality. We know a little bit but very little in the grand scheme of things. And we don't even know the grand scheme of things.

Strictly speaking, yes, but we'd probably need to be countless quintillion cycles in or some crazy number like that for the odds to line up I'd imagine. Doesn't seem like a 1:1 repeat would be all tbat likely. If the universe even is cyclical in the first place. Who knows really.