How to handle it?

I am with my boyfriend for more than 2 years now. I think he loves me very much.but he doesn't believe my feelings to him. And if sometimes I don't do sth he expect me to do,he will think like this: if she loves me,he would have done this. And sometimes he will not contact with me deliberately for 2 or 3 days to see if I would contact with him first. Because he thinks contacting him first means I miss him or at least care about him.