There are a massive amount of tenants rights programs in MA, I recommend calling 211 to see if GBLS, Suffolk, or Harvard will give you a hand.

Don't let the property management co push you around, you have a lot of tools in your arsenal. Definitely make sure the health inspector comes out. Check out masslegalhelp and click around on the pages that apply to you. You can also inbox me with questions you may have regarding the situation as I do this stuff for a living. I won't be able to take you on as a client but I'm always happy to provide info and contacts.