The printed lease form must be labeled "lease agreement," "retail lease agreement," or "motor vehicle lease agreement. A car rental agreement template is signed between the owner of the car and the person renting as a mutual agreement that the car was taken in good condition.Specify the rental period and terms in the agreement. Typical processing time to establish a billing number is 3-5 business days. Can I pick a vehicle up at one of your locations and drop it off at another? Are there any limitations on where I can drive a rental vehicle? The printed lease form must be labeled "lease agreement," "retail lease agreement," or "motor vehicle lease agreement. This car rental agreement is between Benita Ramos Espiritu (Owner) and Flordeliza Asilum (Renter). Reporting Damage to College Owned or Leased Vehicles.