Girl problems?

ok well here it goes i have been dating this girl for the past two months and it has been really great i mean it couldnt go any better but there are a few things that she does that really gets to me i mean i know that the things she does shouldnt bother me because thats the way she is or w/e but i can not stand the fact that she does not like public affection. i mean im the type of guy who if i feel like i want to hug or kiss u i want to do it and she doesnt she pushes me away and just doesnt show any kind of affection in public. and it really bothers me. also she is always around this one guy which she says that they are nothing more than just friends and i believe her but im really really extremely jealous i dont want another guy looking at her touchin her or just spending alot of time with her. i dont like that. and i dont know what to do i done told her how i felt about it and all she says is that they are only friends. i dont know what to think or what to do about these problems .