I agree with others. That happened to me once before and I thought it was a waste of time too, but my T told me it wasn't and ofc he was right. It was only your second session and those are hard topics to jump into. Be gentle on yourself. I'm sure your T will help you along if you continue to struggle. The letter I think is a great idea. I did that on my second session to get major difficult issues out in the open. The self harm was particularly difficult, so it took a few more sessions to get that out. It just takes time.
Now when I get quiet and I dont want to talk I don't look at him, but when I am looking for him to help me, I make eye contact...and he picks up from there. I just noticed we started doing this like two weeks ago. Good luck! Don't get discouraged it does get easier.