Whenever any person other than a duly licensed motor vehicle dealer receives by purchase, gift, trade, or otherwise a vehicle which was registered and licensed in this State for the then current registration and license year, the person so receiving such vehicle shall within thirty days after the transfer of ownership make application to the Department of Motor Vehicles for registration and a license plate for such vehicle. The Department, upon being satisfied as to the genuineness and regularity of the application and with proof of the ad valorem tax being paid as required in § 12-37-2610, shall issue a new registration card and license plate to the new owner.