Rocky relationship with no physical contact

I am a shy person and I was with one person for 13 years that was the worst person I've ever known in my life and he was physically emotionally sexually and mentally abusive everyday all day long. I finally met someone else and we had a beautiful son together. mind you I do have three children by my unfortunate current last relationship. but as of now I go through a constant Battle of being accused of cheating, I've never cheated on him even when he broke up with me I didn't see anybody else because I was honestly so upset about him leaving me that I didn't care. I just didn't want anybody else and now today we live together with our son but our relationship has become non-physical and I know he's a physical person. I know that I've been shy about it because I don't know how to initiate and I know that that is put a strain on things. The thing is is that lately all I do is think about having the opportunity to be able to address him. But unfortunately that's not the situation right now his reason for thinking that I'm cheating is because he said that my body changes. One day I guess it's different than another and I'm not sure why I'm supposedly the only woman that goes through this but I know for a fact that he's the only partner I have. But he also believes that I sneak out of the house every time he leaves even if it's only 5 minutes. We have some creepy neighbors next door that I've never spoke to maybe one of them I said hi to once or twice the other one I've never spoken to. One day the guy came up to the car and had asked me for drugs and he doesn't know me at all so I'm not sure why he did that. The point is is that it was scary and unfortunately instead of having the support of my boyfriend for that I was accused of sleeping with the guy. Mind you this guy is ugly as ***. Anyways I'm not sure at this point what to do because all I keep doing is trying to prove my truth and I just somehow can't seem to be able to do so. my landlord has cameras around the house I've asked him to show the cameras to my boyfriend or to watch the cameras and and I told him by any means let him know if he saw me even just once leave this house at any time or have anybody come into the house. The landlord will not give him an answer he doesn't want to get involved. And I understand but at the same time it's so simple to give an answer about it and there's nothing going on so I would have assumed that he would have no problem doing so. But it really does hurt because I am in love with someone that hates me. All I want to do is fix it and I can't. I always try to show him my phone I always leave it out because I have nothing to hide and still he assumes. I've actually never given him a reason to but I think it's due to trauma and his past relationships that he thinks I am the way I am or something. But that's the problem I definitely will admit that I wasn't addict in the past I still am but I'm in recovery. But I never got to the point ever where I sold myself out for drugs maybe I got lucky and left that lifestyle before that happened but no matter what the case is it did not happen. I don't know if anybody else has been in this situation but I just need some advice because my relationship is gone as he said and I don't even know why. Why does my body feel different to him one day and not the other. He said that it's because I'm sleeping with somebody that is bigger or something and that's the problem is that I'm not so why is my body the way it is. Why am I thr only one. It sucks because all I want to do is be able to go up to my boyfriend anytime of day and have that physical bond with him although I'm shy because of the fact that we haven't been physical very much at all it makes me want to more but obviously I'm not going to embarrass myself by rejection that's one reason I have not even tried. I just want to know what's wrong with me.