If you are unsure about some hand, just mark it during the session, forget about it, and review it later. There are no shortcuts.

As for this hand, you should not be putting your opponent on a specific hand, but rather a range.

I would not expect your opponent to check-raise Qx on the flop -- such an action makes no sense. He either has a strong Kx, two pair, a set, or is bluffing with some draw.

The overall line he took (check-raise flop, check/call paired turn, lead-shove river) is often very strong. Expect to see a lot of boats here. Some flushes as well. I don't see a lot of bluffs in his range. Playing JT this way would be very weird. Maybe he could play AJ like this, but you block some combos of AJ.

However, you also have a very strong hand, and are getting a very good price on the river, so it's hard to fold.

The more you study away from the table the calmer your mind will be at the table. Put yourself in villains shoes.... this is a fold on the river. His K combos are not checking on the turn with a flush draw out there. Only his nutted hands and FDs are check callling the turn. Fish don’t bluff into completed FDs. Looks too scary.

He has one value combo you dominate (KJs). There are no combos of KQs left, so he probably has KQo in his range here too. Check/calling JTs on the turn only makes sense with JThh (paired board weakens OESD's quite a bit).

On the surface this looks like a call, but vs a range consisting of roughly 12 value combos and only one you beat, this can be folded. I get it, price is right, but your range is crushed here, you are at best a 4:1 dog (if there is some AK in his range) and getting 3:1 roughly on the river. If he dumps the other 3 combos of JTs on the turn, he doesn't really have any bluffs here.

Difficult spot in the river but he has very likely a very strong hand with the line he took. KQ or QQ or a flush only bluff I see is with the Ah and some other card but what could he raise flop with then only if he has AhKc or AhXh that rivered a flush.
Yes you get good odds on the river but unless the villain is an aggro-fish folding is best.

"I guess we put him on a Q here this hand"? We don't put villain on a hand, let alone a specific card. You put villain on a range.