Should I have been in this hand still?

[eleventy]

My question is on the flop. The Pot was big and I had an inside str8 draw, backdoor flush draw and an overcard that probably was no good. Do I call the first 2 bets to me on the flop? I think I have to call the 2nd 2 since I called the first. The turn is an easy call. Is this a good call or am I a fish.

Party Poker 3/6 Hold'em (9 handed) converter

Preflop: Hero is Button with 5[img]/images/graemlins/spade.gif[/img], A[img]/images/graemlins/spade.gif[/img].
<font color="#666666">2 folds</font>, MP1 calls, <font color="#666666">1 fold</font>, MP3 calls, <font color="#666666">1 fold</font>, Hero calls, <font color="#CC3333">SB raises</font>, BB calls, MP1 calls, MP3 calls, Hero calls.

Flop: (10 SB) 3[img]/images/graemlins/spade.gif[/img], 2[img]/images/graemlins/diamond.gif[/img], Q[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(5 players)</font>
<font color="#CC3333">SB bets</font>, <font color="#CC3333">BB raises</font>, MP1 folds, MP3 folds, Hero calls, <font color="#CC3333">SB 3-bets</font>, <font color="#CC3333">BB caps</font>, Hero calls, SB calls.

Turn: (11 BB) K[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, <font color="#CC3333">BB bets</font>, Hero calls, SB calls.