TP/flush draw: did I play it right?

[marchron]

First hand at the table. Nobody looks familiar.

Advice on all streets, please.

.25/.50, 8-handed, MP3 (me) posts .25

Preflop: <font color="green">marchron</font> is MP3 with K[img]/images/graemlins/spade.gif[/img], 7[img]/images/graemlins/spade.gif[/img].
UTG calls, UTG+1 calls, MP1 calls, <font color="#666666">MP2 folds</font>, <font color="green">marchron checks</font>, <font color="#666666">CO folds</font>, BT calls, SB completes, BB checks.

Flop: (7 SB) 2[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/club.gif[/img], 4[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(7 players)</font>
SB checks, BB checks, UTG bets, <font color="#666666">UTG+1 folds</font>, MP1 calls, <font color="green">marchron raises</font>, BT calls, SB calls, <font color="#666666">BB folds</font>, <font color="#666666">UTG folds</font>, MP1 calls.

Did I get the SSHE lesson right? Raise with this so my top-pair-blah-kicker might hold up if the flush doesn't come?

Turn: (8 BB) 9[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(5 players)</font>
SB checks, MP1 checks, <font color="green">marchron bets</font>, BT calls, <font color="#666666">SB folds</font>, <font color="#666666">MP1 folds</font>.

Take the free card?

River: (10 BB) 8[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="green">marchron bets</font>, <font color="#CC3333">BT raises</font>, <font color="green">marchron calls</font>.

Three-bet? Nut flush is a possibility.

Final Pot: 13.5 BB (after rake)