10/20 AK hand, turn question.

[MarkSummers]

no reads yet. guy before me bought in for 2500 and guy after me seems loose and aggressive because i saw him try to bluff out QQ on a non-threatening board with nothing.

I'm dealt Ad Ks in MP, guy before me raises and I 3 bet. Guy right after calls 3 cold and everyone folds to the guy before me who just calls

Flop 6d 3s 5c

checked to me and I bet, guy after raises and guy in front cold calls and I call. I have to bet this flop and I have to call the raise, no?

Turn Kh

check, I check planning to checkraise and but it's checked around.

River 2d

check, I bet, both call

I'm pretty sure betting the turn here would be the right play? Especially since I've played this hand exactly like AK and they were both probably scared of the K, especially the guy after me who may be holding something like 99-QQ or a smaller. Thoughts?