It seems strange to rent a CD to an individual for the going price of a CD purchase. Rental generally means that you pay a fee on a daily; weekly; monthly base for as long as you use the item or service.
And when an owner rents to someone, he has a record of the renters name, address, etc.
It’s a nice try but it’s no rental no matter what’s on a piece of paper; call it something else, like a sham because that is how it is regarded.