I would fold turn in hand 1, despite it pairing you that 9 is a pretty bad card.

Hand 2 I'm checking the flop behind given villain. I'd prefer to cbet with the semibluffing hands in my range (9Tss, KsJx, TJ) since you'll likely get paid off when u hit and it's a lot harder to talk yourself into hero calling a 2xpot shove when u have J high