2 Flush w/ nut straight

[wacki]

Hero is on button. 4 people left. Blinds are 4/8 and everyone has stacks of ~150. LP is a wildcard. Can play and call with just about anything, novice skill level. He is frustrated and not getting good cards tonight.


Hero has K[img]/images/graemlins/club.gif[/img]J[img]/images/graemlins/spade.gif[/img]

Preflop
LP limps, Hero raises 10.
SB and BB fold, LP calls.

Flop Q [img]/images/graemlins/heart.gif[/img] T [img]/images/graemlins/spade.gif[/img] 9 [img]/images/graemlins/heart.gif[/img] Nut Straight!

LP checks, Hero bets 20. LP calls.

Turn. 5 [img]/images/graemlins/club.gif[/img]
LP checks, Hero bets 20, LP raises 20, Hero goes all in.
LP folds.

Thoughts on all streets welcome. Did I make a mistake by going all in? I was afraid of the flush draw. Were my other bets ok?