<human>: Could you distill the essence of the text into 1-3 sentences?

I need help interpreting a girl, who is dear to me. I am only 16[m] y/o and have practically no relationship experience. I fucked up once already, and before I do so twice I would like your advice.

A few months this girl broke up [(this is the story)] with me because in my idiocy I failed to properly show her my affection. She liked me a lot, but nobody should put up with the way I behaved. I condemned myself to become a better person and a better [potential boyfriend] Naturally I tried to excuse myself with her, but she wasn't fond of talking and I thought it was completely over.

Although I was pretty settled on it being over, in december I convinced myself to try a last time and waited two whole hours after school for her to explain myself (she does sports in school), but I failed to speak to her because she looked like she didn't want to, and the last thing I wanted to do was to annoy her even more. While going back home I thought I could atleast write her an honest apology via PM. I told her how sorry I am, how special she is to me and how I would love to see her privately another time. I didn't ask her out though. A week later I tried to call (on 21/12/12) to wish her a merry christmas but she didn't pickoff, so I just did it over text. She responded by giving me also wishes and asking me if I called her (with a smiley). I responded yes and she asked me why (again with smiley), I told her why and we would continue to wish each other nice celebrations over the holidays (though these wishes were initiated by me). A week ago I asked her if she is going on the school-organized holiday and she said yes. This time though she continued the conversation , which I was surprised at, and did so the next time too.
I also catch her looking at me, when it looks like I am not looking.

I know, I know that I shouldn't overanalize stuff like this, but I really love this girl (she is the my first proper love) and for atleast some time I knew she loved me. Soo, what should I do?
<bot>: My idiocy brought me and my first love apart, she now suddenly starts talking to me again after I send her an apology/affection PM. I want her back, advice?