Will I get the relationship back that I messed up?

I've been dating this guy, he's in the military and is about to get his wings. He means the world to me, and the relationship was perfect in the beginning. I can truly say he's the love of my life. Here's the problem...I recently (6 months ago) got out of a realtionship with my ex whom i lived with and was there for a good part of my daughter's (who's 3) life. I was having an emotional hangup, not knowing why, because I know my ex isn't right for me at all and I don't want to be with him, and was communicating with him still. I love my boyfriend now very much, and we've even discussed the possiblity of marriage and children. He has been hurt badly in the past two relationships he's been in, and when he found out I was still communicating on an emotional level with my ex, he was extremely upset. Although he still tells me he loves me, and cares about me, I feel like i'm loosing his trust and faith in the relationship, because he feels like its going to end up like his past two relationships. What can I do to assure him he's all I want? I've already cut all communication off with that ex, and have assured him he means the world to me and I never intended to do anything or to hurt him in any way, i literally just had a lapse in judgment. He i'm sure also worries that he can trust me when he deploys, and I cannot stress enough how much he means to me, and how badly I hurt knowing that he doubts us.