Is this a form of abuse?

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this a sighn of abuse? I have two small boys 3&5 and.  been with baby daddy for   7 years. He has a habbit of lying over every little thing. As time goes by he keeps getting more and more meaner. No hitting but tries to isolate me. If I have to bring my son to his friends birthday party he has to come with me. I also very clearly told him I’m done with him sexually, due to not being in love anymore cause of the lies and no trust..,, But he still tries to grab me inappropriately like my boob or butt & it hurts. His excuse is “we been together for 7 years and we have kids together”.. am I being a prude? I chose not to marry him and I’m on medication that affected my sex strive. Most important I’m not attracted or in love. I told him clearly how I feel but he doesn’t seem to respect it. Also he barges in the bathroom door when I’m using it or tries to look at me in shower..,! He uses same excuse “ we been together for 7 years” I even stated how I feel as far as not doing these things that make me uncomfortable. I’ll admit that I’ve gained some weight after my second child was born so I’m very self conscious. He just doesn’t seem to respect me. I’m aiming to move out with kids but I am jobless and my confidence is so down. He never tries to guide me in the right direction. He seems to want me so isolated. I just am afraid of being a single mother in poverty. Which I already am anyways with him. What’s the point then staying with someone I’m not happy with and also not supportive. I’m a big believer in therapy and I have goals. He refuses to go to therapy when he has a lot of issues. I feel like I’m trapped.He has a habbit of lying over every little thing.  As time went on he just kept getting meaner &!meaner. No hitting though. I just feel he’s trying to isolate me. Like.. If I have to bring my son to his friends birthday party he has to come with me.I’m aiming to move out with kids but I am jobless and my confidence is so down. He seems to want me so isolated. Also he is a good dad. So idk how the kids will be affected