2 hands in a row

[siegfriedandroy]

4 handed, i raise kk in the co. button (52/20 over 100, seems tightish post flop), 3bets, i cap and bet an 8 J 10 r flop. he calls and then calls a turn jack (2nd diamond). riv is an ace. is check fold an option if his capping range is standard?

next hand. same player raises. passive sb calls, i call w/ j7s, and flop a flush (a 4 9). I c'r, sb folds. i bet the turn, which is a 4th spade, and get raised. is calling down my only option, regardless of what decision i made in the previous hand? is checking the turn horrible?