Is this completely natural?

Is this completely natural or do you detect any errors?

A man and woman have just been fighting.

Woman: Where are you going?

Man: I'm just gonna go for a walk.

Woman: Can I come with you?

Man: Okay. But could you shut up then?

Woman: I can try, if that's good enough for you.

Man: I think you should just stay here.

Woman: Okay.