UB 100NL: Did I misplay these jacks?

[Jekyll]

Sat down at a .50-1.00 NL game at UltimateBet, playing for the first time after cashing out of Party(ty frist).

Anyway, MP raises to 3.50, CO calls, I call with JJ out of the SB. Flop is JsQhKh. I check, MP bets 12.50, CO calls, I push for ~70 more, they both go all in as well. Hooray for me, I'm up against AT and KK, the nut straight and top trips. My one outer doesn't come [img]/images/graemlins/frown.gif[/img] .

Was this a bad play on my part, or was I just unlucky? I'm thinking a little of both(slightly more the latter), but it's hard for me to be 100% objective here. How would you play this hand PF and on the flop?