My ex and I are going to lunch next week! Need advice!?

We have been broken up for a month now. We were together for 2 years and broke up because we were bickering about the dumbest things allll the time! I miss him and want him back and I want to prove to him we can make it work. We are going to lunch next week and I want to bring the feelings back and make him want me back. How do I get him to want me back and what should I do if it goes really well?