AKs vs utg

iPoker - $0.50 NL FAST (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

BB: 124.32 BB (VPIP: 23.48, PFR: 20.01, 3Bet Preflop: 8.86, Hands: 1,428)
UTG: 109.7 BB (VPIP: 20.63, PFR: 17.99, 3Bet Preflop: 5.38, Hands: 596)
Hero (MP): 122.9 BB
CO: 123.12 BB (VPIP: 25.22, PFR: 15.93, 3Bet Preflop: 3.66, Hands: 238)
BTN: 40.5 BB (VPIP: 27.15, PFR: 18.02, 3Bet Preflop: 2.63, Hands: 3,330)
SB: 114.52 BB (VPIP: 26.85, PFR: 21.76, 3Bet Preflop: 7.78, Hands: 227)

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has K♦ A♦

UTG raises to 3.5 BB, Hero calls 3.5 BB, fold, fold, fold, fold

Flop: (8.5 BB, 2 players) 2♠ 9♠ 4♣
UTG checks, Hero bets 4.24 BB, UTG calls 4.24 BB

Turn: (16.98 BB, 2 players) K♥
UTG checks, Hero bets 10 BB, UTG calls 10 BB

River: (36.98 BB, 2 players) A♣
UTG checks, Hero bets 21 BB, UTG calls 21 BB

UTG shows A♠ Q♥ (One Pair, Aces) (Pre 24%, Flop 18%, Turn 0%)
Hero shows K♦ A♦ (Two Pair, Aces and Kings) (Pre 76%, Flop 82%, Turn 100%)
Hero wins 75.04 BB

He cbets flop 66%, so I bet to take the pot down probably I have the best hand anyway, or maybe he wants to check raise (but he did it 0/17 times).
Is sizing ok on turn and riveR? His line was not clear to me, when he calls flop I put him on PP like 88,77 which wants to bluff catch, or on 98s. So I bet near 1/2 and dont expect to get called too often, maybe from A9s. What if he shoves river? Is it a fold? It doesnt make sense for him to slowplay set on this drawy board and I think he would raise turn latest so I would call river shove.