Poker Stars No-Limit Hold'em, $0.05 BB (9 handed) - Poker Stars Converter Tool from FlopTurnRiver.com

Button ($5)
SB ($5)
BB ($6.99)
UTG ($4.01)
UTG+1 ($5.16)
MP1 ($11.69)
Hero (MP2) ($5.98)
MP3 ($5)
CO ($5)

Preflop: Hero is MP2 with K, K
UTG calls $0.05, 2 folds, Hero bets $0.25, 5 folds, UTG calls $0.20

Flop: ($0.57) 8, J, J (2 players)
UTG bets $0.27, Hero calls $0.27

Turn: ($1.11) 9 (2 players)
UTG checks, Hero bets $0.59, UTG calls $0.59

River: ($2.29) 6 (2 players)
UTG checks, Hero bets $0.97, UTG raises $2.90 (All-In), Hero folds

Total pot: $4.23

Villain was 20/7 35%agg 33%ftflopc-bet 0%wtsd (44 hands)

Could sizing be better?

Think it should be a tad bigger on the turn, something like 75 cent. On the river I think I'm checking back, I know it's weak but his donk on the flop and then check/call on the turn smells fishy.

thanks for answer, and I think you're correct, or at least planning it better than I did.

What's villain's donk flop and limp-call stats? These samples will be 3 or 4 at the most but will give us a little clue. I think I'd potentially check back the turn with the intention of calling a reasonable river bet or betting if checked to as the flop donk is generally a jack or air, and this way we get what little value we can from worse hands (say, 98s) and minimize losses if he has a jack.