how could i have played this differently?

PokerStars No-Limit Hold'em, $0.25 BB (8 handed)
I had been catching a few cards and won a couple of pots, so i think my image was a bit on the loose agressive side

Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

Button ($15.05)
SB ($6.30)
BB ($44.45)
UTG ($24.75)
UTG+1 ($24.65)
MP1 ($13.80)
MP2 ($36.30)
Hero ($34.60)

Preflop: Hero is CO with Q, J.
2 folds, MP1 calls $0.25, 1 fold, Hero calls $0.25, Button calls $0.25, 1 fold, BB checks.

Flop: ($1.10) 5, J, Q (4 players)
BB checks, MP1 checks, Hero bets $1.25, Button raises to $4, BB folds, MP1 folds, Hero raises to $6.75, Button raises to $14.8, Hero calls $8.05.

Turn: ($30.70) A (2 players)

River: ($30.70) 7 (2 players)

Final Pot: $30.70

Results in white below: [color=#FFFFFF]
Hero has Qc Jc (two pair, queens and jacks).
Button has Ts Ks (straight, ace high).
Outcome: Button wins $30.70. [/colo

i am no fan of 2 pair hands, as i dont play them well.

differently? i DONT reraise so lightly on the flop. he raises my lead, i push over or go to half stacks immediately...prolly push, as i hate two pair.

he bumped your $1.25 to $4, and you only take him up another $3? push harder.

reraise him more but he's probably calling anyways, you are only 50/50 to win this hand after flop.