You did state something that is odd. You said you never heated the space. If you mean you were in control of heating the place but due to inadequate funds, never spent any money to heat the space, you may very well be liable for the damages to the building.
As as to your damaged posessions; if you had insurance, make a claim. If you didn't, you are likey out of luck. Based on your description so far I'm not seeing where the landlord would be liable for your damages.
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I agree but the later statement of never heating the place suggests possibilities that would make that irrelevant.

