Just to confirm...your lease allows your landlord to "inspect" your apartment on a monthly basis and prohibits clutter??! Why would you agree to things like that? Can you quote the provisions that cover these things? Are you month-to-month or is your lease for a specified term (e.g., July 1, 2019 through June 30, 2020)?
Depends on exactly what your lease says, but why would you think a lease provision that you agreed to couldn't be enforced?
Would you rather stay in the apartment and burn to death instead of jumping onto a fireman's net? Heck, even jumping and breaking a leg would be preferable to human-b-que.
The law is that it depends on what your lease says.

