<human>: My girlfriend and I of 2.5 years recently had a falling out. We were arguing or so for a good couple weeks and eventually it seemed she started to lose interest.

 After I confronted her about this she ended the relationship with me.

 2 Weeks later, (now), she has recently started talking to me again saying how much she misses me, how I was her best friend and how she wants things to go back to normal. 

This is all fine with me except one thing, she went on a date with another guy two days later after we broke up.

 Now I'm sure love is blinding me here right now but I want to know is this worth fighting for? 

She said that he only kissed her on the cheek and she did not go back out with him because it did not feel right. Previous experience and gut tells me shes trying to test the waters for other prospects while I'm the back up. 

But the part thats in love with her is telling me maybe its worth the trouble. 

She also refuses to tell me who he is and the reason she even did it so soon afterwards was because she thought I was out fooling around with other girls and wanted to make me upset. 

I realize this seems very high school ish and immature but I'd love some clarity on this, perhaps first hand experiences with such things or just some good ole fashion advice.

Can you condense the text into three sentences or less?
<bot>: GF and I broke up, she went on a date with another guy. Now she wants to try to work things out with me like it never happened.