Okay, somehow I was kinda lost in this hand and think I played it poorly. Any suggestions for a correct play are welcome.
Villain is 18/13/3,5 after 261 hands. His fold to 3b is 40% and fold to cbet is 50% but ofcourse too small sample to make conclusions.
When I look at this hand now, I should had atleast bet the flop bigger but anything else?
Prima, $0.02/$0.04 No Limit Hold'em Cash, 6 Players
MP: $4.08 (102 bb)
CO: $3.84 (96 bb)
BTN: $3.87 (96.8 bb)
Hero (SB): $4 (100 bb)
BB: $3.78 (94.5 bb)
UTG: $4.86 (121.5 bb)
Preflop : Hero is SB with Q

Q
2 folds, CO raises to $0.12 , BTN calls $0.12, Hero raises to $0.40, BB folds , CO calls $0.28, BTN folds
Flop : ($0.96) T

K

2

(2 players) Hero bets $0.56 , CO calls $0.56
Turn : ($2.08) 5

(2 players)
Hero checks, CO bets $1.16, Hero ?