(b) The commissioner may, subject to legislative rule:
(1) Install a statewide system of registering, indexing, and preserving records of marriage, divorce and annulment of marriage;
(2) Give instructions, and prescribe and furnish forms, for collecting, transcribing, compiling and preserving records and statistics of marriage, divorce and annulment of marriage; and
(3) Make and publish a statistical report of marriage, divorce and annulment of marriage in this state.