I don't play plo fulltime so I'll just write how I see things:
V was pretty unknown but more likely a fish, I don't think there's any point in checking, we're ~flipping vs KQ, get value from straightdraws if he's a fish so it's prob better to start building the pot on the flop.

Turn card is nasty and I'm not sure what to do - since he just called that flop he almost never has KQ, probably 0 combos of KK/QQ too but there's still plenty of single queen+draw hands in his range. Any point in betting? Naked str8draws will probably fold so I guess a check/call would be fine here. And river is a pretty easy check/fold if he bets I suppose.

Pre seems fine, as does flop though you can probably just pot this flop. You have a GS to the nuts too.

If I bet flop, I make it a point to double barrel pretty much all of the time when the board pairs on the turn, unless the flop is super dry. I get a ton of folds. That said, I guess we're ahead of everything but a boat or Qx, and neither of those hands will fold. We do fold out wrap draws like AJT9 or something, but those hands are drawing slimmer than they think they are because we chop on Js with them and win when the Ace comes. So while my normal play would be to double barrel this turn, I think checking is fine. Would definitely check in position, more likely to bet OOP.

River is a pretty clear check. Hard to get value from worse or fold out better.

I don't play .05/.10 though so take my advice with a grain of salt.

Don't really see the logic in pot betting the flop? We blocker a lot of villains continuing range so surely it makes sense to bet smaller if we're gonna bet.

Could you explain more in depth why it's so common to double barrel paired turns? I remember I heard about this concept back in 2012 when I was trying to learn PLO in beginning of my poker adventure but I'm still not sure why is this a general rule.

When V's flat or check/call flop, usually flush draws and straight draws make up a lot of their range on most boards. Draws don't like the paired board because they could be dead to a boat already, or if they're not some of they're outs could e dirty if they're facing trips, and they don't know what outs those are. They're also not able to get a ton of value if the draw hits because they'll never have the nuts and can't face a river raise. If V has a hand like two pair OTF (obviously not including the card that paired on the turn) they also don't like the board pairing because they can be counterfeited against an overpair, while if V has an overpair they have to worry that you caught trips. When you bet flop and barrel turn you're range is uncapped and you can effectively rep trips or a boat so your story makes sense.

Obviously this doesn't always work. Sometimes V hits a boat or trips OTT and isn't folding. This is more likely on very dry boards (say Q72r), where it's hard for V to have a draw. Some Vs will continue with just draws even when the board pairs on the turn. If you see someone continue with a non-combo draw on the turn after the board pairs make a note about it and don't ever double barrel them without a made hand. That said, I've found double barreling to be very profitable in this situation, and it's nice to give yourself cards you almost automatically double barrel so you're not only barreling for value.

Well, yeah, this makes sense. Thanks