Your question is hard to follow... If during a monthly rental a LL gave you a 30 day notice to end the agreement... in this case by certified...

Your deposit should transfer over to the new owner and still be "credited" to your account. You should only be required to pay one rent for the...

Once your lease has expired the LL has the right to change the terms of rental by providing proper notice of the proposed changes (usually 30 days)...

If any of this is true you must contact an attny immediately.

Not sure if you are in a rental or a "hotel" room based on your checkout time comment. Without knowing the terms of your rental it is hard to...

No, you are not responsible. Any claim would be against the prior owner.

It is hard to say for sure without knowing more, but in general the LL can not make changes during the lease period and is required to provide...

Hard to say when you only hqve a verbal agreement, however it is very common for rental agreements to allow for the showing of the property during...

No there is not. Mr. Peckhams answer is very good.

Read your agreement... yes at some point they undoubtedly had the right to auction your stuff.