Do you think that a person should still move after filing a restraining order on an abuser?

I have been in a relationship for almost 5 years and it has been abusive the last three. The police are no help. Upon asking them to remove my partner (who is not on my new lease, paid no rent for the last 3 months), they told him to leave and come back the next day. I told them that I did not agree and he blacked my eye two months ago. I filed a restraining order two days ago, but the police has not served it yet. So, the last two days he has been coming in drunk, refusing to walk his pitbull(it shitted on my floor over 6 times the last 48 hours), threatening to kill himself, and blaming me for everything. I have been paying over 1000 dollars for rent, buying all food and personals, but have no rights it seems. I am feeling like I am married to this because he won't leave, the police don't care, and I have constant headaches & throw up all the time. I feel like he is going to snap off and kill me if noone else steps in. I have no extra money now & he won't pay.