Usually for me, the k is short for ok, whatever means I'm cool with whatever the other person wants to do, and oh means I feel like I've been punched in the stomach (I mean I think the last time I used it was when my crush confirmed she was straight and I died).
Not really, for me anyway. I just write whatever comes to my head first as if it's a face to face conversation. I say oh, fine and I guess in ways I don't mean to be rude, although I'm pretty sure it may come across that way accidently.
That's one I use when I'm being sardonic.