Im not really sure about this one.

My intuition is that its too thin to check/raise here OOP MPvsCO, but i might be conviced it is fine against this player type. Kd is also helping a lot here, because we are no longer forced to shut down at diamonds.

I would be always fine with this with AJ. I would never do this with QJ So KJ seems to be in between.

Considering that players in general tend to bet too often in this situation if we check back, checking the whole range and having a fairly wide raising range is a good strategy. I think KJ here is maybe a bit too loose. I'd probably start raising from AJ+.

If you XR flop you should probably find a check somewhere after the flop. I think standard play is to bet or check-call. In these spots villain can have AJ and KJ it's significantly better to XR AJ or KK+.

being that he is so aggressive vs checks i think it is best to check call there and call him down on good turns and rivers. you can represent some draws and even value hands but imo its best to check call there and keep his range wide. If the board continues to get wet you can just check fold. i think its best to just let the aggressive player to keep betting into you when you appear weak.
https://www.youtube.com/watch?v=2wM7fDJprrQ
check that video out above if i you didnt really understand me.

I think you should either bet bet bet or check call all day here.

Check-raising is by far the worse play here because you force him to play better. Of course he ll sometime continue with a weaker jack or a draw, but his weaker holdings are gonna fold often resulting and less EV for you.

Either way, your never gonna be thrilled going allin by the river here with a bluff catcher.