(a) The department shall file each notice of security interest received by the department with the required fee and maintain a record of all notices of security interests filed by the department as follows:
(1) Alphabetically, under the name of the owner.
(2) Under the manufactured home identification number.
(3) Under the certificate of title number.
(4) In the discretion of the department, by any other method it determines.
(b) The department, before issuing or reissuing a certificate of title, shall check the name of the owner and the certificate of title number of the manufactured home against the record provided for in subsection (a).