PokerStars, $0.01/0.02 Hold'em Cash Games, 5 Players

Board:
BB: $1
UTG: $5.03
CO: $2.81
Hero: $7.35
SB: $8.44

Dealt to Hero K K

Pre-flop:
(2 folds), Hero raises to $.08, SB calls $.07, (1 folds)

Flop: ($.18) Q T J (2 Players)
SB checks, Hero bets $.18, SB calls $.18

Turn: ($.54) A (2 Players)
SB checks, Hero bets $.54, SB calls $.54

River: ($1.62) 8 (2 Players)
SB checks, Hero bets $1, SB raises to $2.82, Hero calls $1.82

I'm not sure about my bet sizing, nor am I sure if my play on the river was correct.

Thanks.