Problems with boyfriend?

The fact that he doesn't want others to know you're his girlfriend is already fishy to me. I'm a guy, and if I have girlfriend(especially if she's really pretty), I'd love others to see what I have! And the not talking for a month thing, it's just not really possible. Do you really think you guys will still feel the same way towards each other after not talking for a month? I'm just saying. He sounds fishy to me. Worst case scenario is that you're not the only girl he wants to be with in public. Sorry girl. I'm just being honest. Good luck to you.