opponent here is 48/6 and semi aggressive postflop. I have no idea how to handle this. I put out a bet that I didn't think somebody would play with unless they had a Jack. Is this a good line of thinking?

Party Poker No-Limit Hold'em, $ BB (7 handed) FTR converter on zerodivide.cx

MP1 ($79.90)
MP2 ($389.87)
CO ($169.35)
Button ($112.35)
Hero ($110.05)
BB ($84.85)
UTG ($100)

Preflop: Hero is SB with Q, Q. Hero posts a blind of $0.50.
1 fold, MP1 calls $1, 2 folds, Button calls $1, Hero (poster) raises to $4.5, 1 fold, MP1 calls $4, Button calls $4.

Flop: ($16) J, J, 5 (3 players)
Hero bets $14, MP1 folds, Button raises to $28, Hero ...