if his family is making excuses for him, perhaps they will help him by paying your rent???
they know you have a young child and are not working, I would tell them that he spent all the rent $$.
Can you get help from your family to get the month's bills paid? Can the DV advocate get you some emergency funding to pay your housing and utilities? food stamps? You need to tell people that you need help.
your nose is going to be painful, but a closed nasal reduction is a very quick outpatient surgery (I fell in the parking garage at work and smashed mine), they will fix it however and you will be able to breathe properly.