Villain is 56/18/1. He limps most buttons. I stacked him twice early on and then he made a comeback when he got all in on a K7x rainbow borad with AK against my AA and rivered a 3rd K.
I have led a lot of limped pots with air and 1 pair/2 pair/draw hands to balance my range. He probably calls 30%/folds 30% and raises 30%. He has raised with air and given up to a 3 bet in the past. When he calls I put his range to a Kx or 7x. I think a likely holding is K8o, K9o here.
When he calls the turn I am putting his range on a limped AK, KQ that he is trying to fool me with (has happened previously) or I am now including K7 K6 in his range including the hands previous.
When the river hits I ma 99% sure I am good and he has a K. My question's are, are my bet sizings correct, esp the value bet on the river?
Poker Stars $0.25/$0.50 No Limit Hold'em - 2 players
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BTN/SB: $126.00
Hero (BB): $78.40
Pre Flop: ($0.75) Hero is BB with 7

6

BTN/SB calls $0.25, Hero checks
Flop: ($1.00) 6

7

K
(2 players)
Hero bets $1,
BTN/SB raises to $3,
Hero raises to $13, BTN/SB calls $10
Turn: ($27.00) 2
(2 players)
Hero bets $18, BTN/SB calls $18
River: ($63.00) 6
(2 players)
Hero bets $28, BTN/SB calls $28