My husband cheated too much now we are in hell

My husband cheated on me 5 times in person and many other online only with strangers he met online. On 2 occasions, he abandoned me with the kids in Brazil and went on a vacation with a girl he met online, one being a one day and other 5 days away. Besides this last one, Everytime I found out he cheated was months later, I was pregnant during one and breast feeding and depressed in others. I stayed, he said he'd find a new mother for my daughter in a couple occasions, i was pregnant of our son back then. I stayed, he said he'd take the kids from me and send me back to Brazil, i was still an immigrant with a green card card then. I've suffered domestic abuse from the beginning, mostly verbal, others he threatened to hurt me or broke things in the house out of anger, most of the times he'd get angry when i asked him to stop playing WOW and help me with the kids but it could be any thing really, that's when i started calling the cops. I turned an American citizen a couple of years a go because I found it difficult to get help from the state when he was out of the house because of the abuses, I couldn't afford daycare to go to work, so i depended on friends and neighbors, but i never stopped fighting back. This year he called me horrible shaming explicit things, he often brings up i had boyfriends before marriege and that my spirit was dirty cause i didn't marry as a virgen. In the last couple of years he tried to become better after i called the police on him once again so he started seeking God and found Jesus. That didn't stop him from insulting me but helped him have more reasons to shame me for not being a Christian or accepting Jesus as my savior. He's now doing counseling and has changed for better but at the same time he's still an egocentric. We made plans to buy the first family pet for our kids last night but this morning I denied having sex with him so de decided said he didn't want to be around me, I felt punished but more than anything i felt like he was also hurting my children by leaving to go wherever he wanted instead. I really don't feel like having sex with him anymore, we've been slow and mostly because of me denying it. He says he wants to feel loved, i feel like he doesn't love me, well, obviously, but after we decided to stay together for the kids, i feel like sex became an obligation, even thought we agreed he'd be allowed back in the house only so he'd be allowed near the children, which he wasn't before because he ended up in Jail in April chasing me in the room to insult me and slapped my hand and throw my phone. We agreed he'd respect that i didn't want to be with him as his wife but was willing to live together, but now acts like I'm his wife and demands sex. We talked about sex last week, i guess because i let one slip and had sex with him after months, but he asks for sex every time he's off from work anyways, he suggested we create a schedule for me to give him sex once a week. This marriege went wrong and still goes on like hell and i never had courage to leave, I'm now traumatized and don't want any men ever again, but is it stupid to try and believe a person like this would actually stick around for the best of the family or is it really just the sex he is after? I asked him if he'd like to open the relationship last week when we were talking about "why don't you want to have sex with me?" ... He said "because that's the type of person you are?!". Well, I don't want to have sex with you or anyone if that helps but I'm willing to let you have sex with others now that we're talking about it like adults, just don't expect me not to retaliate. Life's hard