Well.. . . I say if you are upset that is reason enough for him to lighten up. Sometimes girls now of days are relentless when they see something they want. Or your guy is just a nice guy that does not see where there may be a problem. (My hubbies one of those nice guys) Try explaining how it makes you feel. Not the jealous type, but the type that is aware of how other women behave. Boundaries are always good when you are in a relationship. They help shore up the home front! There was some party girl that wanted to car pool with my husband to work back in the day. I wasn't for it. He understood. Now today she is in Washington with the DOT and my husbands bosses boss. When he saw her 15 years later, she kept saying how much she settled down and how much she changed. I tell you she was a wild party girl!!
Stick to your guns. Be calm. Be fair. It will work out. (Trust your instincts.)
If you doubt he is doing anything, you are probably right. Just use your head and follow your gut!
Keep us posted!