Are these sentences OK?

He became distant with me.
He started acting distant toward me.
He started to be distant toward me.

Question

Are these sentences OK?

He became distant with me.
He started acting distant toward me.
He started to be distant toward me.

Answer

Yes! You could also say: He started being distant with/toward(s) me. 'Start' can be followed by a 'to' verb or an 'ing' verb. For me, the 'ing' version sounds more native here.

Answer

They are all fine. Toward  is more US English

Answer

Only thing I'd change is instead of "toward me" it will be "towards me."

Answer

All these sentences are correct. :)