A North Carolina rental application is a form provided to potential tenants to collect their personal information as part of a screening process. A North Carolina rental application is a conventional document for rental proceedings.The form contains several parts, each requesting information. Free download of an official rental application form for residential leases in North Carolina. How do I fill this out? Vet prospective tenants with a customized rental application for North Carolina. The North Carolina rental application is a document used to screen a tenant who is interested in signing a legally binding lease agreement. We offer a free Rental Application form that can be completed online and a Printable Rental Application. Apartment Rental Application Form. The Apartment Application sample below includes information the prospective tenant provided.