JJ in EP Help me

[iash]

Villian is 21/4/2. He seems like a solid, thinking player.
In retrospect, i've been getting decent cards, and raising often PF (probably around 10% since we've been sitting together.) I've thrown out a lot of uncontested c-bets, he may have picked up on this.

PokerStars No-Limit Hold'em, $1.00 BB (9 handed) converter

UTG ($100)
hero ($178.60)
MP1 ($107.70)
MP2 ($55.25)
MP3 :#A500AF(villian)/ ($92.50)
CO ($98.50)
Button ($69.90)
SB ($97.90)
BB ($36.50)

Preflop: Hero is UTG+1 with J[img]/images/graemlins/club.gif[/img], J[img]/images/graemlins/spade.gif[/img].
UTG calls $1, <font color="#CC3333">hero raises to $5</font>, <font color="#666666">2 folds</font>, MP3 :#A500AF(villian)/ calls $5, <font color="#666666">4 folds</font>, UTG calls $4.

Flop: ($16.50) 2[img]/images/graemlins/club.gif[/img], 4[img]/images/graemlins/spade.gif[/img], 9[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
UTG checks, <font color="#CC3333">hero bets $15</font>, <font color="#CC3333">villian raises to $30</font>, UTG folds, hero calls $15.

Turn: ($76.50) Q[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
hero checks, <font color="#CC3333">villian bets $57.5 (All-In)</font>, hero folds.

Final Pot: $134

I think perhaps I should have pushed or folded on the flop. By calling villians flop-raise i'm putting myself in a difficult position on the turn. By checking the turn I'm pretty much asking him to go all in.

I'm thinking Possible Villian hands : A9, TT-AA.

I feel like whenever I push in these spots, I'm always looking at QQ-AA.

?????

iash