$4 NLHE 6-max: AQ IP: How would you react to the flop 3bet?

I'd like feedback on the flop 3bet from the villain when I flopped top 2 pair.

Then feel free to tell me about my 4bet shove and why it was/wasn't wise.

I only had 2 hands on villain so no stats and really no reads. This was his first hand played.

Merge - $0.04 NL (6 max) - Holdem - 6 players
Hand converted by PokerTracker 3

SB: $4.39
BB: $4.06
UTG: $4.00
Hero (MP): $4.00
CO: $2.28
BTN: $4.51

SB posts SB $0.02, BB posts BB $0.04

Pre Flop: ($0.06) Hero has Q♥ A♦

fold, Hero raises to $0.12, CO calls $0.12, fold, fold, BB calls $0.08

Flop: ($0.38, 3 players) J♠ Q♦ A♠
BB checks, Hero bets $0.38, fold, BB raises to $1.52, Hero raises to $3.88 and is all-in, BB calls $2.36

Turn: ($8.14, 2 players) 7♦

River: ($8.14, 2 players) 8♣

Pre flop I'd make it slightly bigger in future.

Flop is good. There is a ton of draws he can have as well as made two pairs, has few/zero sets in his range, obviously straight as well, even then you still have equity. Brilliant board to get it in on.

looks good to me

That's fine I guess. You're going to be up against a straight or big draw a lot, but they'll have a worse two pair a decent amount of time. Just know that you're going to lose about half the time.