QJs - schizo on various streets

[coinflip]

Felt a bit uncertain about my play on many streets. Comments appreciated on all.

MP1 is 33/5/1.22 over 40 hands. BB is 76/0/0.15. Other villains unremarkable.

Party Poker 0.5/1 Hold'em (9 handed) converter

Preflop: Hero is Button with J[img]/images/graemlins/club.gif[/img], Q[img]/images/graemlins/club.gif[/img].
<font color="#666666">2 folds</font>, MP1 calls, <font color="#666666">3 folds</font>, <font color="#CC3333">Hero raises</font>, SB calls, BB calls, MP1 calls.

Easy raise with one limper and QTs?

Flop: (8 SB) 5[img]/images/graemlins/club.gif[/img], T[img]/images/graemlins/heart.gif[/img], 3[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(4 players)</font>
SB checks, BB checks, <font color="#CC3333">MP1 bets</font>, <font color="#CC3333">Hero raises</font>, SB folds, BB calls, MP1 calls.

Two overcards and two backdoor draws. Easy raise again? I'm hoping to help clean up overcards and possibly get a free turn card.

Turn: (7 BB) Q[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, <font color="#CC3333">MP1 bets</font>, Hero calls, BB calls.

The turn card gives me top pair, but here's MP1 coming out of hiding again on the 3rd flush card. I'm torn between wanting to raise to charge a lone heart and worrying that MP1 has already made the flush.

River: (10 BB) A[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, MP1 checks, Hero ...

Easy river bet?