Depending on state but this seems very unlikely for any state. In Ohio=NO.
They may sue you and seek a judgment for payment and they may present it to unemployment for garnishment but the amount will be a percentage.
The landlord could sue the decedent's estate.
You cannot sue your landlord unless you suffered damages due to his negligence.
See answer to related question, "Can a tenant sue a landlord for trespass?"
You can get (sue) anyone for slander: your landlord is no different.
Sure.
Your landlord can evict you and sue for back rent.
Yes the landlord can be sued for breaking the lease.
Yes.
You can sue the landlord for slander.
You can try.
yes
You could sue him in court.You could sue him in court.You could sue him in court.You could sue him in court.