As a landlord if you had no objects there past the date your rental was up then there is no expectation of paying any more than that week you paid for.
It is courteous for a tenant ot pay back rent if they were still using the parcel but to be honest that is a pleasant suprise in my experience and not something I would actually count on. IMO its the landlords responsiblity to follow with rentals that fall into arrears allthough again if the tenant gives notice of non renewel it is greatly apreciated. No tenant should ever feel bad or like they are letting the landlord down by not renewing most of us know sl is in a constant fluid state I would rather leave the agreement on good terms than have hard feelings on either side.