Being tired is "normal" for anyone struggling with any mental health issues (much or most of the time anyway). And wanting to give up counselling/therapy is quite normal too, I believe.....

My best suggestion is to try to hang in there. As you self injure, as you said, it might not be safe to terminate counselling until you are in a better place emotionally (?)
I wish you luck with your decision.
Take care,
Fuzzy