A9o ~ X/back river?

I do not like your line. Board is wet and villain has a wide range that connects with it, thus not so many hands are folding on flop and turn.
Do not cbet this board.

I'd cbet, check back the turn and check behind or fold the river unless my gutter hit. Cbet is 50/50 for me, doesn't really matter if you do or not.

Definitely don't like your small turn bet - won't make any of their range fold and will block a bluff on the river if you happen to hit your gutshot.

Flop i'd cbet, people still overfold.
Turn is debatable, you're targeting only QJ really with your bet. Alot of his 1pair hand won't fold vs 2barrel and secondly a big part of those hands picked up a gutshot(think of 89/T7/56 and whatever)

River easy xback, you're valuerange got alot smaller with the 2nd Ten on the board and his 2nd pair typ hands increased in relative value through this fact.

This is a perfect example of go big or go home sizing on the turn
1)your range
Think of all the bambillion combos of gutter, draws etc you have here that you can be bluffing with
2) his range what value said (edit: Varune hahaha autocorrect calls you Value ♦)
You make it really easy for him to call any pair with this sizing

So if you indeed do decide to barrel a psb or overbet should be your go-to size, and you'll do the same with value hands to make his life really hard with most of his range.
EDIT: A9o will still be too loose probably, you just have so many better draws here

River will not be easy to decide what you barrel most of the time but in this one you got bailed out and have an easy check

I think pre we can sometimes go bigger with entire range vs this player because his stats looks kind of passive fishy. So we can raise to 2,5 bb's vs him. Vs some players we can go even bigger. The reason is that we want to play bigger pots vs worse players because we will earn more money on average vs them like that. On this board I think both cbetting and checking back are fine. If we check back, I think we should be ready to raise some turns with this hand if he probe bets. If cbet the flop, I think we should make it a bit bigger, like 0,8- 0,9. OTT our equity increased a bit, so cbet is fine imo, but would also go bigger, like 3/4, because we want to bet bigger on wet boards. With less than 1/2 I doubt we have any fold equity. We should be prepared to bluff (maybe even overbet) some rivers imo. This river is not good for bluffing imo, so checking back is fine. We also have some showdown value vs his range.