[Mecastyles]

I dont know if calling the flop and turn is okay. You get no information with calling. He could either have just a K9 or something in that range. But he also preflop calls with pocket pairs (like 22,44) that have your hand crushed.

The 4 doesnt help or hurt your hand most likely because there is almost no way that he flopped two pair with k2,k4,24

I would raise either the flop on the turn. This slows him down because you have shown strenght. If he keeps going you may have to consider that he has a set.