K7s flops bottom pair vs 5 opponents

[checkmate36]

PokerStars 0.10/0.20 Hold'em (8 handed) FTR converter on zerodivide.cx

Preflop: Hero is Button with 7[img]/images/graemlins/heart.gif[/img], K[img]/images/graemlins/heart.gif[/img].
UTG calls, <font color="#666666">1 fold</font>, MP1 calls, MP2 calls, <font color="#666666">1 fold</font>, Hero calls, SB completes, BB checks.

Pretty loose game with mostly passive opponents. No read on villian in this one.

Flop: (6 SB) 7[img]/images/graemlins/club.gif[/img], A[img]/images/graemlins/heart.gif[/img], 8[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(6 players)</font>
SB checks, BB checks, UTG checks, MP1 checks, MP2 checks, <font color="#CC3333">Hero bets</font>, SB folds, BB folds, UTG folds, MP1 folds, MP2 calls.

Checked to me so I bet. I doubt my hand is good but I have the nut backdoor flush draw as well. Anyone check? Betting may allow me a free card if I want to use it on the turn.

Turn: (4 BB) T[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
MP2 checks, Hero checks.

Heads up now. I checked and hoped to induce a bluff from my opponent on the river.

River: (4 BB) 3[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">MP2 bets</font>, Hero calls.

Should I have bet turn as well? I like how I played it but Im interested in hearing other points of view.

Final Pot: 6 BB