I'd 3bet this hand OOP, KTo doesn't play well in these positions.

Flop and turn are fine.

River I go ahead and check-call. Hard to see what worse hand calls our 3 barrel, I do think AK folds which is the only hand I see us getting value from.

AA , KJ, Q 10 , AK , iv seen them call with worse. you get suprised sometimes

Definitely a 3Bet p/f for me.There are far better hand combos to be flatting the SB with,this isn't one of them.

As played I agree w @Harvie Flop we can either C-Bet or C/R.I like the C/R. The Turn is fine and would Bet again and River I C/C.Prefer C/C over B/F.

Flop: Not in love with the flop raise. Hard for us to have to many value combos that want to raise besides maybe K,10 and 55s which is very few combos. Therefore, i probably check/call most of my range here.
Turn: As played, i check the turn. Villian has combos KKs,TTs,55s,AAs, AJ,possibly QQs, i doubt it though. Some of our gutshots improve to pairs, and some improve to the nuts but villian can have those plus all those other value combos so i think checking is correct here with this specific combo.
River: As played, i cant see myself calling a shove here and i think 2 pair is two wide for value on this particular runout.