i would have check flop
turn is fine as played
river he might have some of Tx, Jx but also a lot of busted draws or over cards i would have bet a little less

I like flop play, and I think turn is okay, but an overbet will likely be better. Your value region here will probably be something like decent Jx+, and that region can support a bigger bet.

OTR I think this way too loose without reads. This hand is too high in your range and has a bit too much sdv. In terms of absolute hand strength, I expect the majority of your river bluffing region to be worse than KxMidCard (maybe some really weak Ax? Unlikely though given turn play). Holding a 9/8 with s or diamond might be helpful here to block his only possible straight combos. It's possible that those just always xr flop though (ie blocker is irrelevant).

On the flop, betting range in that texture is fine. Your particular hand can go either way (bet small or check back) in isolation but betting range is in my opinion the most robust strategy.

On the turn, your range is pretty strong and you want to bet bigger (and very frequently). Overbetting is good I think as Paul Atwal said, I play 50bb often so i potbet that turn given the lower SPR.

On the river your hand is not a very good bluff GTO-wise, but you can bet AdQx and AxQd blocking the flush (and betting big, you have lots of value hands). I checked this on the solver on a similar texture that I had already solved, so results aren't super accurate. Bluffing AhQh should be an exploitve move if you think villian overfolds -folding most of his Jx and all of his Tx mainly, or peeling to loose on turns with hands like 55-99 to fold river.