KT mw

Kicker is relative depending on positions, but in this case I would assume you are pretty close to the worst Kx in your range. So to answer your question, your kicker is weak but we still need to bluffcatch once here imo.

Our kicker is a bit weak here. I don't think BB will bluff here very often since we (preflop aggressor) act after him. Turn also completes flush draws so I think we could fold here. Calling here is not very bad but it would be better if turn wasn't a heart.

In these position you have very weak kicker, but if you open this hand on BU and SB, BB calls you have K with middle kicker. IMO your kicker class mostly depends on positions and your opponents range.

On this turn folding your hand is better than calling in mw pot. If turn is non heart 4 then you have easy call.

Considering positions and the fact that it's a multi-way pot, I agree that our kicker is weak and I even think that our 2nd pair is maybe too weak to bluffcatch, but it's probably fine to bluffcatch once.

I'm really interested in hearing what range we expect to get to the turn with and what part of that range we continue with from here.

Here even J is a low kicker.

Just bet the flop unless you have reason to believe your opponent is aggressive and you're prepared to call down 2 streets. As played I'd definitely buff river. Your opponent has a pretty narrow range to call here profitably, and you can still rep the nut flush with KQ here.