should i try again???

[guccimane99]

Ok well i have been reading everyones posts. I want to make this short. I dated this girl for a short period of time i played the whole chase game with her. I cared about her always went out of my way for her never abused her or made her feel bad about herself. I treated her the best i have ever treated a girl cuz i cared about her alot. We went through a rough patch one night and that brought our relationship to an end. I then went to no contact for 5 days and she would text me after a class saying that it was misserable. We then got back to where we seemed like we were gonna get back together and she was talking to this guy and i didn't care about him she wasn't mine so she could do what she wanted i just wanted to get her back. I said some stuff after i saw a photo of them and she kissed him on the cheek and i flipped cuz she told me there was "nothing there and they have always been friends nothing more." I dug some stuff up because i have alot of friends and no one said anything nice about him and i told her what everyone told me and then she responded with dont talk to me. So i went no contact for 4 months this month. I find out from a friend that shes dating this guy and i was sad and realized i may never have this girl and start crying but later realizing crying wouldn't get her back. One month into no contact she texts me and i don't respond. So i get over her and start dating someone else and a month into my new relationship i feel bad about what i said. I wanted to write her a letter so i could put my heart into my new relationship but, that night my new gf broke up with me. I felt bad about how we broke up i hand wrote an apology letter and when i said her name to give it to her she turned around with the biggest smile i have ever seen. She texted me saying it was unexpected but thank you she accepted my apology and she was sorry for her part. She told me that she is happy and that she hopes i am to. She told me that im a good hearted person and never to change. with a smile on the end of it. Should i try and talk to her and see if shes open to talk with me. Then should i see if she still has feelings cuz that smile she gave me was like when a child gets something they wanted for christmass. I just want to know what i should do i have moved on i figure give her one chance to open up and if she doesn't walk away with my head held high saying it doesn't mater i tried.