A fee shall not be charged for any of the following in the family division of circuit court:

  (a) Commencing an ancillary proceeding under any provision of the mental health code, Act No. 258 of the Public Acts of 1974, being section 330.1001 to 330.2106 of the Michigan Compiled Laws, or any provision of chapter XIIA of Act No. 288 of the Public Acts of 1939, being sections 712A.1 to 712A.31 of the Michigan Compiled Laws.

  (b) Filing an acknowledgment of paternity.

  (c) Filing a motion, petition, account, objection, or claim in an ancillary guardianship or limited guardianship proceeding if the moving party is the subject of the proceeding.

  (d) An ancillary conservatorship proceeding if the moving party is the subject of the proceeding, or in the case of a conservatorship for a minor for a motion to release restricted funds.