Hand1:

Villain is quite tight, around 17/14. I think that PF could be a bit too loose(I think that I'm better of 3betting JTs here than KQo but ok)

Stacks:
UTG ($740.05)
CO ($570.00)
Hero ($639.00)
SB ($465.08)
BB ($628.45)

Pre-flop: ($9, 5 players) Hero is BTN [Kc]
1 fold, CO raises to $24, Hero raises to $72, 2 folds, CO calls $48

Flop: [Ac][Jh] ($153, 2 players)
CO checks, Hero checks
Well I decided to check, villain is quite ABC unless he is tilting. My flop check means usually monster or pot control so i doubt he is doing to do anything on turn w total air

Turn: ($153, 2 players)
CO bets $120, Hero folds

Hand2:

This guy is playing 55/25 after 120 hands and he has been making awkward moves for a while now.

Stacks:
Hero ($600.00)
CO ($618.90)
BTN ($625.43)
SB ($618.38)
BB ($601.89)

Pre-flop: ($9, 5 players) Hero is UTG [Ah]
Hero raises to $21, CO calls $21, BTN raises to $60, SB calls $57, 1 fold, Hero raises to $172, CO folds, BTN folds, SB calls $112

Flop: [9d][2h] ($431, 2 players)
SB checks, Hero goes all-in $428
Is there any alternative? I really hope that he would push big hands PF.

I really don't like your flop check in hand #1. If you had a monster (AK say) there is no way in hell you're checking there because the board is insanely drawy. Even with AA/KK you would be nervous if any Q T or heart fell. Even QT you probably bet here. So your flop check to me is basically flipping your cards over and saying "Steal the pot from me, please." Either that or call the turn, like DH said.

#2 Jesus Christ. This is the kind of hand where I think, I'm never ever going to play $600 6-max. Not if I have to make plays like this to win. No thank you! SB cold called a bet and a raise to 10x preflop OOP. I think big pairs are a really big part of his range and he's not going anywhere. (Also, what would you do if the flop came A72 or Q72? The same shove, or ...?)