Should I try and work things out with my ex?

o...My ex-boyfriend broke up with me in july because of an argument between my friends and his ex. He didn't tell me why he broke up with me until 3 months later so I was kinda stuck as to why it happened. Two days after we broke up he mysteriously had another girlfriend which was weird because she kinda came out of no where and their together now. I never called him or text him because I didn't wanna seem desperate. about 2 months later he started texting me and he sent me a friend request on facebook he gave me his new number, he would text me and ask me how I am doing and what am I doing, he tells me that he's been thinking about me, and he misses me a lot, he wants to see me again. He also kept a love letter that I wrote to him and he told me he will always love me. so do you think he wants me to take the first step at fixing our relationship or is he just telling me these things just because he wants me to know how he still feels about me PLEASE PLEASE !!!! HELP ME OUT BEFORE ITS TOO LATE