KK flush completes OOP

played a while ago when I was running better
villain is 13/10/03b small sample only read is Ive seen him call a 3 bet oop w JTs he didnt attack the pot after flop checked thru and he had middle pair
I think my turn bet is far to small as alot of his flush draws are gonna contain the J and I honestly think B/F the river is to thin a lot of his hands got there or are small pairs that don't call suppose he can have QQ.

$0.25/$0.50 No Limit Holdem
PokerStars
9 Players
Hand Conversion Powered by weaktight.com

Stacks:
UTG ($57.77)
UTG+1 ($142.87)
kick (MP1) ($67.97)
MP2 ($23.42)
MP3 ($45.86)
CO ($56)
BTN ($50)
SB ($24.45)
BB ($26.72)

Pre-Flop: ($0.75, 9 players) kick is MP1 :kc: :kd:
1 fold, UTG+1 calls $0.50, kick raises to $2, 2 folds, CO calls $2, 3 folds, UTG+1 calls $1.50

Flop: :3h: :8c: :5h: ($6.75, 3 players)
UTG+1 checks, kick bets $4, CO calls $4, UTG+1 folds

Turn: :js: ($14.75, 2 players)
kick bets $8, CO calls $8

River: :4h: ($30.75, 2 players)
kick bets $15.50, CO goes all-in $42, kick folds

c/f this river