The only extraordinary thing in V's stats was his low fold to 3bet, but it could be a sample issue.
On this flop I think I should bet most of my flushes (should check some combos like AsKs if I want to leave my checking range uncapped), all sets and overpairs without a spade. Hands like KK(?)/AA with a spade could be checked sometimes, not sure if 100% of the time tho. With this holding, I don't accomplish much by betting since I definitely don't have a valuebet here and not many better combos will fold so I can easily put it in my check/calling range.
Turn card is bad for my hand and pretty ok for his range so there's still no point in betting. Depending on his potential bet size it could be a check/call or check/fold, I'm pretty sure he won't be floating lightly in this spot.
I don't think I can bluff river if I checked him twice before so it's pretty clear check/fold for me. Do you think my line is too weak?

Preflop is pretty standard. I perceive BTN's (20/5) range as pocket pairs (22-77 maybe?) + broadways + suited connectors, maybe A2-A8 type of hands too. I clearly can't make a valuebet here, but this is a hand where I think it's too weak to play like I did. I'm still ahead of his whole range so if I check/fold AK, even with Kh, here, I let him win tons of chips by bluffing every hand that he missed here and there could be plenty of combos of them in his range. So IMO, despite that he has a fair amount of hands that his this board, I gotta check/call this at least once.

V's stats were pretty loose but this is 6max and I think 100% of his hands that I had tracked were from this tourney. 3betting AJo here for value is ok I think.
We don't hit the flop and villain's perceived range is ahead of us so I don't think it's a good idea to check down this hand.
Checking the flop seems ok though, because I could do this with AK, KK and hands like TT(or JJ)-QQ. My two questions are:
1) should we bet more on the turn in this 3bet pot to maximize folding equity?
I think it's enough.
2) the river is pretty bad for bluffing, can we stop here? I don't think so since we rarely win at showdown and if villain can think he should draw a conclusion that calling marginal hands here would generate him negative profit (lol at this definition)

Again, not much info on opponent. I think it's kinda tough because by betting we can make him fold better hands + we still can improve, but he could call with some floats like broadways and I'm not comfortable making a second barrel here. I think this is the spot I need most discussion on, because I'm pretty confident with the conclusions that I've drawn in previous hands.