It's typical behavior for her to act like this: to not have to face the consequences of not having you in her life. She doesn't want to be alone, she doesn't want to have to sort out the things in her life, she is unsure of her decision and doesn't want to lose you in the process. You aren't every going to really give some other girl a chance if you are always seeing your ex, making out with her, and going to movies with her. No contact is not something you can just do for one week and voila, everything is solved. She hasn't solved anything and all of her actions thus far are in her own self interest. She hasn't changed one bit and even if you guys started dating again, she would go back to her sketchy behavior. If she wanted to be with you for good, by all means, she needs to come out and say that and then be ready to give 100 percent to your relationship. You know what you want: her. If she doesn't feel as strongly as you feel on that, no matter what you guys continue to do, it doesn't matter. You guys will fail in the end.
So she wants to try and make it like old times eh? The truth of the matter is NOW isn't the "old times". She hurt you, pissed you off and what you guys have now is a shell of what things used to be. I don't buy her desire to "try" one bit. I mean if she realized how much of a catch you are, she would be running back to you and begging to be with you again. Not that that kind of behavior is particularly attractive but some passion and some indication of her feelings for you should be present.
What she needs is time on her own to figure shit out. Like Teddy said, she wanted this. So this is her time to figure things out. She isn't figuring things out when she can just run to you at the end of the day. She is just staving off her loneliness and inability to be on her own another day. What you are doing is actually hurting her growth, believe it or not. She is going to have to learn things the hard way. I had to learn the hard way and get dumped on my ass by my last girlfriend but I promise you the fact that she resisted all my attempts to get back together was really the best thing that happened to me. I finally got it and finally wanted to make myself a better person and improve myself when I realized I couldn't be with her again. It makes me not want to squander my next opportunity that comes along. And trust me, my experience won't allow me to.
You can't help how you feel, but logically you know better than this. The relationship is broken and her half assed attempts to patch it up are empty promises. I'm not saying that being with tons of other girls will make you feel better, but now is not the time for dating her. Maybe in the future when she has matured and grown up a bit, if she does at all that is. She is not the only girl that you could possibly spend your life with and it's not easy finding somebody new that you want to give a shot, but you will. And you will be able to better make a decision about who to let in because of your life experience.
It sucks not being with her, but it will be okay. Everything will be alright. You will get fed up with her hot and cold eventually, so just go no contact now and stick to it. Tell her you need space now and if she can't respect that, it's just going to piss you off more and show how much she only cares about what SHE needs.
Waking up next to a beautiful girl,
Step outside and say hello to my beautiful world.