Playing 10NL 9-handed with $8 effective stacks

Hero dealt 9d10h on the button
3 limps before hero, hero raises to $0.60
Bb (villain) calls
UTG+3 calls

Flop 6d 10d 8s

checks to hero, bet $1.02
Villain calls, UTG+3 folds

Analysis Top pair, a gut shot and a back door flush draw seems good enough to cbet. Not really sure where I'm at, though.

Turn Jc

Villain checks
Hero bets $2.14
Villain calls

Analysis We turned an up and down straight draw which is why I end up continuing, but looking back the villains line seems really strong. I guess betting this turn could be good to charge / fold out flush draws, but I think a lot of the villains range is over pairs, better 10s, and maybe ace jack. Think my best play here is to check back and hope to improve on the river, what do you guys think?

River 6h

Villain jams for $4.22

Again, think that we should have checked back the turn and folded river on this card and facing a big bet. I guess in that specific case we could be against a busted flush draw, but again I think a lot of his range are stronger pairs than me. As you can tell, I was a little lost in this hand; can y'all help me break this down?