Hand1 A9o
Preflop
Open is fine but its a fold to the 3-bet. In general we want to avoid defending to 3-bets with reverse implied odds type hands, that is hands, that are often going to be second best, if the 3-bettor puts a lot of chips into the pot. And with a hand like A9o the obvious issue is A high boards, where we will often get shown at least AK or AQ, if the opponent keep on firing. Even defending with AJo is marginal, unless you have some kind of read, that the opponent is 3-betting way to much.
Flop
As played you obviously need to call at least one street, when you hit top pair.
Turn
I am not sure, if this check-raise is for value, or if you are turning trips into a bluff? If its for value, you are overplaying your hand, and if its a bluff, your hand is to strong for that. So regardless of the rationale, I dont like this raise, and I would just call again and make a decision of the river. You could fill up or make a 9 high flush, and if he bombs the pot on a blank, you can still get away and fold.
Hand2 KQo
Preflop
Standard open
Flop
Obviously a great flop, and I understand the urge to slowplay here. And if there were multible people left to act behind you, I would like it a bit more. But here you are hoping for just one guy to bet, so I would prefer going for a small C-bet myself. You are probably going to get a lot of folds, but on a board like QQ6 you are not getting a ton of action later either, unless someone has the last Q or improve to a hand, that beat you. Like maybe someone has 22-55 and turn a boat, and now you just set yourself up to lose a big pot by letting them see the turn for free.
Turn
As played I would continue to just call. Even if the guy has 6X, which I think is kind of unlikely, he wont always call a raise now AND then also call a bet on the river, because its so obvious, that you most likely has a Q, when you take this kind of line. So you are mostly getting action, when you chop or run into quads, And by raising now you dont give him the chance to continue bluffing on the river. So I would check-call here again and pretend, I have a hand like AA or KK, which is pot controlling due to the paired board and might consider folding to a bit river bet.