Only dating a month, and you're already are making demands about how he should behave?
This guy sounds like he is simply not a PDA kind of guy. Maybe you should have just dated casually for a while, and then decided if his personality type was a match BEFORE you made him your boyfriend? Just because you let him put his penis in you doesn't give you the right to disregard his feelings about public displays.
Sorry. Thought you could use an alternative point of view.
Relax... I'll need some information first. Just the basic facts - can you show me where it hurts?