What should I do with this nut flush & nut inside straight draw?

This hand actually occured at small stakes but I wanted to get a mid-high stakes perspective because that is where I want to play eventually. So you may never see people play like this at the higher stakes, but I think the concept is worth considering.

I'm dealt A [img]/images/graemlins/heart.gif[/img]T [img]/images/graemlins/heart.gif[/img] on the button
There are 6 people in the pot and I am on the button.
The pot is about $6 (before rake). (look at the bottom for all the details)

The flop comes: J [img]/images/graemlins/spade.gif[/img] 5 [img]/images/graemlins/heart.gif[/img] K [img]/images/graemlins/heart.gif[/img]

1st (position) bets $3.5
2nd folds
3rd calls $3.5
4th folds
5th raises to $10.5
6th-button my move

The pot is about $22.33. I owe $10.5 to call. That gives me a little bit better than 2-1 pot odds (2.13-1).

I have a draw to the nut flush (9 outs) and a draw to the nut straight (3 more outs). But I figure the J [img]/images/graemlins/heart.gif[/img] isn't a good out since given all the action so far that could make a full house for someone. (If they have a set or two pair with jacks) So that gives me 11 outs total. That's 3.3:1 to make my hand for the turn.

And I figure I have decent implied odds if the queen hits and I might have decent implied odds if the flush hits because of all the action so far plus someone might have made their smaller flush. (but of course that gives me less outs if someone is holding a flush draw) Of course the 2.13-1 pot odds won't hold if someone reraises behind me. As long as I stay in the pot and at least 2 other people are in the pot I should be ok.

I ended up folding because I didn't have much time to consider my move. I was playing on the Prima network and they only give you like 20 seconds. So what should I do here? Should I reraise all in? Should I call? Or should I fold?

Here are the details:
** Dunkirk [Hold 'em] (0.25|0.50 No Limit - Cash Game) Real Money
- BreedOfEvil sitting in seat 1 with $45.40
- Beari sitting in seat 2 with $29.95
- johnthenuts sitting in seat 3 with $35.35
- -Sark- sitting in seat 4 with $52.60
- Phaeton1 sitting in seat 5 with $55.41 [Dealer]
- _Dogge_ sitting in seat 6 with $43.75
_Dogge_ posted the small blind - $0.25
BreedOfEvil posted the big blind - $0.50

** Dealing card to Phaeton1: Ace of Hearts, 10 of Hearts
Beari called - $0.50
johnthenuts called - $0.50
-Sark- raised - $1.00
Phaeton1 called - $1.00
_Dogge_ called - $1.00
BreedOfEvil called - $1.00
Beari called - $1.00
johnthenuts called - $1.00

** Dealing the flop: Jack of Spades, 5 of Hearts, King of Hearts
_Dogge_ bet - $3.50
BreedOfEvil folded
Beari called - $3.50
johnthenuts folded
-Sark- raised - $10.50
Phaeton1 folded
_Dogge_ called - $10.50
Beari called - $10.50

** Dealing the turn: 2 of Spades
_Dogge_ checked
Beari checked
-Sark- bet - $8.50
_Dogge_ called - $8.50
Beari called - $8.50

** Dealing the river: 8 of Clubs
_Dogge_ checked
Beari checked
-Sark- checked
-Sark- shows: Jack of Diamonds, King of Diamonds
_Dogge_ mucks:
Beari mucks:
-Sark- wins $60.00 from the main pot

you calling with a draw is too transparent and pushing on this flop probably wont result in anyone folding given the action.

muck this hand and wait till you can be the original aggressor, or at least the first raiser.