Clearly there is only one and only one answer. Let him go. He is not sure of his actions and is seemed all confused. Give yourself a break from him and spend some quailty tine with your family and friends as he said to you.
You will find a person who knows that he loves you and no more confusion. But just let go your cousin. Even after asking so much time he is not clear then get rid of him. Try to forget him.
For this time is the best healer.