What is the right move going forward in repairing a relationship?

So bottom line. I broke up with girlfriend of 3 years because I was scared I wasn't the right guy for her. 3 weeks later, I've come to conclusion that I am stupid and want to marry her something I NEVER said before in our relationship. I told her this. And she said lets just take it day by day. We have hung out twice now and she's been very hot and cold. As if she's waiting to see what I do. She won't initiate physical contact, but when I ask, then she says yes. Or if say literally, I won't text, then she text within the day. I told her to text me if she wants to hang, but its been a week and she hasn't said anything. Should I go for it? Am I just familiar? I think she's the one and I'm not sure how to prove that the fluke was breaking up, not how I feel now. Any advice?
What is the right move going forward in repairing a relationship?
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