::grunch::

pre-flop - fine

flop - you've got a flush draw but a paired flop. I see no reason to go crazy here. The check/call looks good.

turn - you're looking at calling 2 bets to win 7 (8 if MP2 doesn't fold) and possibly more since you're not closing the action. However, you've got a gazillion outs between the straight and flush draws, so I like the straight call here (and hope MP2 doesn't 3-bet).

river - you've got to raise here. I don't see BB having KK/QQ, unless you know him to limp in with those hands. Since he just checked, he could literally have anything, and I'd expect to see trip 4's here far more often than I'd see a full house.