2nd pair facing overbet on the river

[Fiksdal]

This is a hand from a $5/174 MTT on Ongame. Played it at my friends account because I suck.

Big blind is t20, 10 handed.

I have t1500
Villain has t1300

Preflop: I'm BB with 7[img]/images/graemlins/club.gif[/img]T[img]/images/graemlins/spade.gif[/img]
2 folds, MP1 calls t20, 4 folds, Button calls t20, SB calls t10, I check.

Flop: (t80) 4[img]/images/graemlins/heart.gif[/img]3[img]/images/graemlins/heart.gif[/img]T[img]/images/graemlins/spade.gif[/img] (4 players)
SB checks, I check(?), MP1 checks, Button checks

Turn: (t80) 6[img]/images/graemlins/club.gif[/img] (4 players)
SB checks, I bet t60, MP1 calls t60, Button calls t60, SB folds.

River: (t260) J[img]/images/graemlins/diamond.gif[/img] (2 players)
I check(?), MP1 bets t500, SB folds

I thought this looked suspiciously like a busted heart draw. What do you guys think? Do you think I should have played the other streets differently?