<human>: Summarize the given text in a few sentences.

We've been dating for about a month. I tend to struggle with relationships. So up to last night, I really couldn't believe how well things were going. Oh, and the sex was fantastic.

I don't think it's so much the fight that she's upset about. But the next morning I stopped by on my way to work to apologize. I knew that she was sleeping. So I let myself in to her house(we live in a very safe area) then walked into her room. I don't know what I was thinking. I would be very upset if she(or anyone I were dating) did this to me. I just really wanted to apologize. I waited a few hours and texted her a long apology. I really didn't expect to hear back from her for at least a day. But she texted me back a few hours later. Basically, the text said that given how crazy I acted this morning, we should just be friends. Honestly, I feel like this is kinda generous. I know this girl really liked me and is really attracted to me. So I feel like if I continue to be her friend, going back to sex is inevitable. So I guess I have 2 separate questions:

a) I know this one is a long shot. But how can I apologize for acting so crazy and make her go back to dating me? or

b)What sort of things could I invite her to do now? Before, we were doing a lot of low key things like; hiking, hanging out with friends, watching movies, getting drinks. I know none of these things would be out of the question to invite a friend to do. But I just feel like she won't go for it anymore given our history.
<bot>: I acted kinda crazy after getting in a fight with a girl I've been dating. After I apologized, she said she just wanted to be friends. How do I go back to dating her?