[RunDownHouse]

1.) No.
2.) I might cap the flop to see if he leads the turn, after which I call down, but I would also throw up if I capped the flop and he check raised me on the turn. In either case, it looks like you're up against two pair, a set, or a really big draw (flush + OESD).
3.) If any, I'd fold to a spade or maybe a 9. I'm not sure Id fold to either of those, though that kind of stubborness might be a big leak in my game.
4.) Yes. Aside from a K/Q, that was the best card in the deck for you, IMO. I would consider raising here, as button looks like he's either on the flush draw (in which case he folds for one anyways) or has a Kx (in which case he might call two cold). I don't think SB, especially with those stats, is looking to check/raise his rivered boat, and that you just sucked out on two pair.
5.) After the turn action, no. I don't think he's sitting on AK or K8, so you're ok.