A rental agreement is a document that is signed between the supplier and the renter. It specifies all the rules and conditions of the specific rental deal.The printed lease form must be labeled "lease agreement," "retail lease agreement," or "motor vehicle lease agreement. The following terms apply to the rental of this type of vehicle, in addition to those set forth in the Rental Agreement. Please read before booking your rental. Here you'll find answers to the most frequently asked questions, downloadable forms to help you manage your lease, and essential telephone numbers. The Best 10 Car Rental near Middlesex, NJ 08846 ; 1. The Insurance Company declined to pay the bill. In some states like Florida, car rental companies can collect both the cost to repair their car and the diminished value or diminution of value. For example, a rental beginning (paperwork complete and car released) at p.m.