Mike repair issues are best backed up with written complaint sent via certified mail , The heating issue was not excusable, If your LL were sent notice and refused to comply with repairing the Tstat in a reasonable time ILL bet your city/ county inspections dept would have written a repair notice tied to a threat of condemnation if repairs were not done by certain date. Stove repair Same deal. SO based on only what your written lease says make a decision and follow it, If push comes to shove I suspect that if sheds of any type are not forbidden in the lease he wouldnt win a eviction hearing in court based on that alone.