How much should I be betting here on the turn? I want to avoid scaring the other players off, but at the same time there is a flush draw on the board.

Not sure if I sized the flop bet right either for extracting value.

PokerStars No-Limit Hold'em, $0.02 BB (6 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

Button ($3.69)
SB ($4.01)
BB ($2.01)
UTG ($3.32)
MP ($2.86)
Hero (CO) ($2)

Preflop: Hero is CO with Q, K
UTG calls $0.02, MP calls $0.02, Hero (poster) raises to $0.12, 1 fold, SB calls $0.11, 1 fold, UTG calls $0.10, MP calls $0.10

Flop: ($0.50) A, 10, J (4 players)
SB checks, UTG checks, MP checks, Hero bets $0.20, SB calls $0.20, UTG calls $0.20, 1 fold

Turn: ($1.10) 3 (3 players)
SB checks, UTG checks, Hero ???,