Preflop
Standard open.
Flop
I might check back here for pot control and to try to get to showdown with my AK high. Even if you have not connected, its still a fairly strong hand on this board, but its not strong enough to go for multible streets of value. C-betting is ok as well though, as long as your plan is to check back a blank turn.
Turn
Even though you improved to top pair, I would still check back now. You still lose to 5X, most of his AX folded on the flop, and 9X should not be calling two more bets on this scary board. So there are just not a whole lot of hands, you can get 3 streets of value from, and you having Kd mean, you dont need to bet for protection against hands with a random lower diamond. So I would rather check back now and then look for a bet to go in on the river.
River
Basic poker theory say, that the larger the bet, the more we should fold, and the less we should call. So while I would snap off any normal bet up to say around the size of the pot, here you were facing a 3,5 times the pot overbet. That changes things, and I think, folding here is completely fine. You are not going to get bluffed that often in the micros, and even when you get bluffed, its often just from a chopper, when he has another AX and overplay it.
Folding in spots like this also help to reduce variance and keep yourself off tilt. So as a general advice, when you have to risk a whole stack to catch someone
bluffing, and you are getting bad pot
odds, then just fold and dont worry about it. This is going to make your life in the micros a lot less frustrating. It sucks to fold here and lose 14BB without knowing, what they had. But it sucks a lot more to pay a whole stack on the river just to see, that yeah they had it - again