Just because his name is on the lease does not allow him to just come over any time and hang out. Since there has been mutual abuse, he can turn around and get that order against you also. not likely, but possible.

Do you have access to mental health and substance abuse help? You need help to learn ways to manage your anger and staying away from un healthy habits. You need to start paperwork in regards to Child support and visitation. Do you see a pdoc and T ??? Are you on medications?

Do you feel safe allowing him to see your child? Do you fear for your childs safety? if so then it needs to be addressed. A social worker would be very helpful to you... You can also find out if legally you can move.

Focus on getting and keeping you and your baby safe.