The Strange Case of Me and Her – What shall I do?

Well, let’s start from the very beginning.

We were in a long distance relationship, 300 kilometers and 5 hours of traveling away from each other, but we could cope with the distance, we met monthly. The break-up happened two weeks ago, when I traveled to her last time. Partly, it came out of the blue, however, during the weeks before the meeting I felt that something went wrong, but I thought we could discuss and solve it. When we started to talk about it, she told me that she wants to break up, because she is not happy with me, she wants to spend more time alone, and she doesn’t have those feelings towards me that she used to have.
But actually, she said she wants to remain close friends with me, and wants to talk a lot. Obviously, the problem is that I still love her and still want her as a lover, not just a friend.
Fortunately, I managed to avoid the “Deadly Mistakes” (e.g. begging, calling her all the time), but I have problems with No Contact.
I try to talk to her as few as possible, but in fact, she is the one who texts me on Facebook. Not too often, she texts me once or twice a day, but she became angry when I don’t answer. And of course, I don’t want to reply, because I want to keep the ‘No Contact’. When I react something, she may sends only a one-word answer, or just a smiley, or she may starts a little conversation (not more than 5-6 messages only).
There’s one more factor: We are in a kind of editorial team for a wabpage, and around some weeks later, I’ll have to talk with her about some work stuff.
We are both young (high school students), but we took our relationship very serious, and we had plans for the future. And… Well, long distance relationship: we traveled for hours and paid a lot of money for transportation just to see each other, we had to sacrifice a lot, and I think this is a great proof of how we loved each other.

So, basically, I’m confused as hell. What should I do? Is it possible that I can ever get her back?

(Sorry for the possible mistakes, I’m not a native english-speaker, but I hope you could understand).