In the U.S., a federal act - the Protecting Tenants at Foreclosure Act - requires banks on federally related mortgages to give a 90 day notice to quit. You can assume that the mortgage is federally related. After that, in most states, they have to go to court and prosecute an eviction.
Renters make a lease agreement with a landlord.
If he lost his renters privilege, he is no longer a landlord
The Landlord
No
If it is foreclosed then he does not own it. You cannot rent a property that you do not own.
No, landlord insurance does not provide protection to the renter. Landlord insurance simply covers the landlord if an issue that is of their fault arises. All other issues are at the renter's responsibility. All renters should acquire renters insurance.
From what I understand they have to move immediately .
No. Signed is signed.
no
Yes.
Is called a lease.
Yes, after you are out a landlord can do anything with items you leave behind.