How do you avoid not losing a lot of money on this hand?

Villain is MP2 and is a gambler.
SB is a TAG.
UTG+1 is unknown.

$2/$4 Limit (10 handed)

Starting Stacks
Seat 1: CO ($97)
Seat 2: Button ($135.25)
Seat 3: SB ($109)
Seat 4: BB ($83)
Seat 5: UTG ($76.50)
Seat 6: UTG+1 ($84)
Seat 7: EP ($116.50)
Seat 8: MP1 ($116.38)
Seat 9: MP2 ($96.20)
Seat 10: LP (Hero) ($47)

Preflop: Hero is LP with A[img]/images/graemlins/diamond.gif[/img], J[img]/images/graemlins/diamond.gif[/img].
<font color="#666666">1 fold</font>, UTG+1 raises, <font color="#666666">2 folds</font>, MP2 calls, Hero calls, <font color="#666666">2 folds</font>, SB calls, BB folds

Flop: (1.5 SB) 3[img]/images/graemlins/diamond.gif[/img] J[img]/images/graemlins/club.gif[/img], J[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(5 players)</font>
SB bets, <font color="#666666">1 fold</font>, MP2 calls, Hero calls

Turn: (0.75 BB) T[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(4 players)</font>
SB bets, MP2 raises, Hero raises, SB calls, MP2 raises, Hero calls, SB calls

River: (0.75 BB) 8[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(4 players)</font>
SB checks, MP2 bets, Hero calls, SB calls

Final Pot: $81

(winner) MP2 shows J[img]/images/graemlins/spade.gif[/img], 3[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">
SB shows 3[img]/images/graemlins/heart.gif[/img] <font color="#0000FF"> 3[img]/images/graemlins/club.gif[/img] <font color="#0000FF">

This hand was costly, and I'm wondering if/how to have avoided the carnage. I guess I could have put someone on JT, but otherwise, I don't know that I played it incorrectly after the flop. I'm not sure if my passivity saved me money or might have tipped me off to someone hitting the boat if they reraised (I obviously thought I was way ahead at this point and was slow playing especially with a backdoor flush draw).

I would appreciate the peanut gallery's opinions on if how to play differently....