I finally get a pair and even better hit a set. I want to extract the most money obviously but don't really manage it.

Betting the flop is right I think? I'm hoping somone has an Ace I guess

Should I check the turn to appear weaker?

PokerStars No-Limit Hold'em, $0.02 BB (8 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

Hero ($5)
UTG+1 ($4.65)
MP1 ($2.73)
MP2 ($1.50)
CO ($6.03)
Button ($2.02)
SB ($5.40)
BB ($1.05)

Preflop: Hero is UTG with 5, 5.
Hero calls $0.02, 2 folds, MP2 calls $0.02, CO calls $0.02, Button calls $0.02, SB completes, BB checks.

Flop: ($0.12) 5, A, J (6 players)
SB checks, BB checks, Hero bets $0.08, MP2 folds, CO folds, Button calls $0.08, SB folds, BB folds.

Turn: ($0.28) 4 (2 players)
Hero bets $0.18, Button folds.

Final Pot: $0.46