strange vs fish to check flop but nevertheless have some merits. Blocking his calling range.
Turn have to raise( for value vs his draws and 54,44 anything which he click call), river too

Bet flop you also bluff cbet it. Build pot vs Ax Kx , QJ and TJ may continue as well

Yes bet flop absolutely, there are so many worse hands that still are more than happy to call on this flop. He raised pre and called reraise. He hits this flop with basically anything else than pocket pairs. And you want value from hands like QJ. BUT he will rarely bluff or bet on this board, if you want value from KQ you need to bet

I think you need to be more concerned about how many worse hands could call on a board like this than if he hit it this exact time. He folds? Too bad so sad. You need to try to build the pot and stack him. Look his two bets are basically not more than a large flop bet.

I wouldnt mind checking the flop sometines with a smaller SPR, but 120bbs deep not betting is a huge mistake. Your explanation on why you decided to check back makes no sense at all, the stronger the hand the more we wanna be betting it usually. You have to raise river vs this sizing imo. I find it hard to put him on better hands with this sizing, and your hand is simply good enough for a raise on this board with thia line

I take a totally different line to yours.
For how you played it 3beteo the turn because it opened color projects also we called the 3bet I put it in a wide range.
We accept those bet sizes that he does not convince me.