This user-friendly form allows you to gather essential details from prospective tenants, including personal information, rental history, and employment details. Each Rent Guarantor must complete a Rent Guarantor Application, sign a Guarantor Acknowledgement, and sign and have notarized a Guaranty of Lease Agreement.Completely fill out each blank and sign where indicated. Housing Court Forms. A New York rental application is a legal document that allows a landlord to review a potential tenant's background information and references. "This was a great service. I was able to create and print out my rental application in just 5 minutes. IMPORTANT: Please only submit ONE application per household. Be advised that if multiple applications are received, only the first one will. Requested Facility Bookings will require a minimum of 1 week advanced notice.