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I am very sorry to learn of this situation.
Your landlord was engaged in lending an "uninhabitable unit" (failure to provide heat). Unfortunately with the property burning down it makes your case much more complex.
The landlord can still be held liable for renting an unsafe and unsanitary property.
I would recommend contacting your local bar association to see if you have a local landlord/tenant clinic or legal aid (most jurisdictions have resources that can assist tenants in these sorts of situations).
If you cannot find local resources to represent you, then you can sue the landlord yourself (as a fallback), you can find resources on suing your landlord in small claims court (where procedures are simplified and an attorney is not required), for up to $10,000.00 here: http://www.nccourts.org/courts/trial/sclaims/, but if you want to sue for larger sums, you will need to sue in general civil court where procedure is more complicated and it will take longer to get to judgment (I am not trying to persuade you one way or the other, but I am trying to give you an overview of what you are looking at between the two).