Getting over my first gf?

It's an extremely long story but I will make it short. So about a month ago, I went on a break with me gf and it just led to a break up. It was mutual and we are still really good friends. We dated for about 10 months or so. I never really had time in the past to have a relationship so I'm experiencing this at a late age. I must say, it's better experiencing now rather than at a less mature age. I was 18 at the time and I recently turned 19. So, no I don't think it's the end of the world and yes I know there are a lot of other girls. The main problem I'm having is that she and I sometimes catch each other checking each other out. Sometimes we even lock eyes for a short moment. On my part, I sometimes just want to do "relationship" things with her. I have complete control over this but sometimes my mind just says "hold her hand" and other stuff like that. When I'm alone, sometimes my mind runs wild with memories of her and I. I don't want to cut communication with her because we are actually really good friends and I feel that letting this end or create tension in our friendship is just childish. The part that misses her just wants her personality, morals, and beauty back (yes I mean her body). The thing I miss the most about the relationship was that sex never happened...well, the bee never went into any type of bird.....but we did do other things but "sex" never happened. I just miss the girl that would lie her head on my chest while we watched tv and I would play with her hair until she fell asleep.

1. Could the eye contact mean something? Sometimes it lasts up to a minute.

2. How to I control my mental urges?

3. Since a part of me wants her back, should I go for that or respect the fact that she doesn't have time in her life for a bf right now?

Thanks! Oh and sorry for the thought stream.