If the court makes a determination of paternity and there is no dispute regarding custody, the court shall include in the order of filiation specific provisions for the custody and parenting time of the child as provided in the child custody act of 1970, Act No. 91 of the Public Acts of 1970, being section 722.21 to 722.29 of the Michigan Compiled Laws. If there is a dispute between the parties concerning custody or parenting time, the court shall immediately enter an order that establishes support and temporarily establishes custody of and parenting time with the child. Pending a hearing on or other resolution of the dispute, the court may also refer the matter to the friend of the court for a report and recommendation as provided in section 5 of the friend of the court act, Act No. 294 of the Public Acts of 1982, being section 552.505 of the Michigan Compiled Laws. In a dispute regarding custody or parenting time, the prosecuting attorney, an attorney appointed by the county, or an attorney appointed by the court under section 4 shall not be required to represent either party regarding that dispute.