You didn't say how long the first match went but if you've seen >15 or so hands by this point, I'm happy to let JTo go to a first 3b.
Flop check is fine. You're not folding out better, you're not getting called by worse, no need to get c/r'd off your showdown value.
Turn is such an easy fold IMO. No reads as aggro, I'm thinking villain is Ax looking to c/s the flop and, failing that, spazzed the turn which hits your r/c pre range well enough and s/he's not looking to see so many bad rivers.