You deserve a relationship that does not negatively impact your mental well-being.
You won’t start healing until you make a clean break. Stop talking to her. Stop meeting up. Just stop.
Of course you still have feelings and want her back. It hasn’t been enough time to process and grieve the end of your relationship. You can’t just jump from a 7 year relationship to friendship with the snap of your fingers. Give it 6 months to a year before you start talking. Maybe even longer.
I wouldn’t worry too much about it. It sounds like he is very shy and inexperienced. It’s probably just excitement/nerves. You can ask if he likes hugging or if he’d prefer something else. If he says he likes it, I wouldn’t bring it up anymore.