NOT NORMAL!!!! Run, seriously, this boy is possessive and considers you his property, not a good sign. I've been there, it turns ugly, and by the looks of it yours turns ugly very quickly if he's displaying such behaviour so early on.

Seriously, I kid you not, he has all the makings of an abuser, controlling, demanding you relinquish any privacy, as well as thinking he now owns you.

Run girl run, I wish someone had told me that when I was your age... I really do.