should i call it quits?

I was with a guy for almost 2 years and he became a big part of my life. During our relationship we grew distant because of problems we were having that he refused to address until the very end. Despite everything, after almost five days postbreakup I told him how I wanted to get back together and fix things, but he insists on staying friends and seeing “where things go”. That should have been enough for me to walk away but he confuses me when he says he loves me, that he misses me, and one time said I looked “cute” after seeing him in person. I have tried talking to him, giving him space, but I feel like I’m on my last straw. Should I give up completely or keep fighting for us?