[2NL] KJs in BB

Villain is 65/16 through 52 hands. Not much of note on him other than he didn't like folding to bets on the flop and probably thought I was steaming from him beating my KK with 67o.

PokerStars - $0.02 NL (6 max) - Holdem - 5 players
Hand converted by PokerTracker 4

CO: $3.04
BTN: $2.52
SB: $5.08
Hero (BB): $2.00
UTG: $2.04

SB posts SB $0.01, Hero posts BB $0.02

Pre Flop: (pot: $0.03) Hero has K J

fold, fold, BTN raises to $0.05, SB calls $0.04, Hero calls $0.03

Flop: ($0.15, 3 players) Q 4 K
SB checks, Hero bets $0.10, fold, SB calls $0.10

Turn: ($0.35, 2 players) 5
SB checks, Hero bets $0.28, SB calls $0.28

River: ($0.91, 2 players) K
SB checks, Hero bets $0.76, SB raises to $2.06, Hero calls $0.81 and is all-in

SB shows Q T (Flush, King High) (Pre 39%, Flop 23%, Turn 32%)
Hero shows K J (Three of a Kind, Kings) (Pre 61%, Flop 77%, Turn 68%)
SB wins $3.91

Have I played this hand horribly or is it just unlucky? Would like feedback on my bet sizing and general play of the hand.