15/30: Tough spot w/ TT in multiway pot

[nut case ace]

15/30 Hollywood Park.

Even moreso than other days, this game is playing like a slightly more aggressive 3/6 game. No real reads on anyone at the table, just know it's real loose.

PREFLOP:
2 EP limpers, MP1 raises, 2 LP cold callers, SB calls, I look down at two black tens. I look around and see that there are still two players with only one bet in the pot, so i raise because as loose as this game is, people will fold in that spot a decent amount of the time. everyone calls to the SB who caps it. This means absolutely nothing. Everyone calls. As you can see, this is a pretty good game.

FLOP: J-2-2 r

4 checks, preflop raiser bets, 3 callers, i start thinking. This pot is HUGE. There is a chance i have the best hand. At this point, the only person who i think might have a jack is the guy who bet out, but he was also the preflop raiser, so who knows, maybe he thinks his 88 could be good. I call. 2 folds.

Turn: J-2-2-Q
I check/fold... But wait, it checks around. I start praying for a river.

River: J-2-2-Q-T
There is a god. I bet and 3-bet if i get raised since AK also just got there.

Weird hand. I'm most interested in preflop and flop. Turn is the easiest street. I also can't see any other way to play the river. So my questions are:
-Is the preflop 3-bet right?
-Should i just call and hope to hit a set?
-Do I have to fold on the flop?
-Is the pot big enough that even if someone shows me a jack in their hand i still have pot/implied odds enough to justify a call looking for a set?
-Anything else i'm missing here?

Thanks for any input.