In a paternity proceeding, the court may order the father or the mother to pay all or part of any 1 or more of the following: the support of the child; the mother’s medical and hospital expenses for pregnancy, childbirth, and recovery; and the funeral expenses of the child. Subject to the right of any party to subpoena a custodian of records at least 10 days before trial, any records relating to the cost of the mother’s medical and hospital expenses for pregnancy, childbirth, and recovery and any neonatal expenses of the child shall be admissible in evidence without the presence of a custodian of records and shall constitute prima facie evidence of the amount of expenses incurred. The court in a paternity proceeding may order the father to pay either or both of the following: all or part of the medical support of the child, including neonatal expenses; and counsel fees to the counsel who represents the complainant.