what to do on flop when alot of $went in preflop

[NaDaChip4U]

hand1: not much read on villian, havent seen him getting out of line but doesnt look like a good player either. effective stake is $420
Hero(sb) with JJ raise to $12, bb reraise to $40, hero makes it $120, bb calls.
flop: Q82cc hero??
i guess usually push but what could he have called me preflop?? i think ak or qq he wouldve pushed, so im guessing he could either have aq type of hands or TT,JJ or AA or KK, so wasnt sure what to do. if i check and he bets, or checks what should i do after flop?, and does it change anything if i held AK or 99??

hand 2: villian seems to play very lag against me after i won few pots after i bluffed him on turn and river but didnt show. hes been reraising me preflop few times already. effective stack is $400
i pick up AKhh utg raise to $16, villian makes it $52 on cutoff, i reraise to $152 and he calls.
flop: 447ss hero??
i guess its a push but i think he would call me with hands like 88, AQss, or he could have me beat with good hands. if u suggest other action what should i do after flop??