You are free to contact the local code enforcement/building dept. folks and ask for an inspection. Failing that, you can ask a professional to come do an inspection. If it's a health-safety issue, you should be staying elsewhere.
It also doesn't sound as though you've even written to the landlord about this, but that's also advised. You're free to file a petition against the landlord in the local landlord-tenant court to seek to have the court order the problems fixed, and you can also seek a rent reduction for the time you've had to deal with this.
It can seem like you weren't terribly interested in addressing this until you started having money problems, however. Please don't let your nonpayment of rent keep you from pursuing your legal remedies.
"We have a newborn baby who has breathing problems and affected by the mold..."
No sane parent would have their child with "breathing problems" staying in a house with mold issues. Please have the child stay elsewhere, with friends, family -- even friendly acquainteances --even if they don't have room for you. This shouldn't be something you'd need to consult with strangers about, frankly.
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LegalEagle Help, of course the poster can just move out. :) Of course, that may have consequences. As for referring to "the General District court" and presuming that the court has a registry into which the poster might be able to pay the rent, you seem to be presuming where the poster lives. (If you are psychic, please advise and I won't worry about whether the response is accurate in future.)