(a) An order adjudicating parentage shall identify the child in a manner provided by the law of this state other than sections 46b-450 to 46b-553, inclusive.

(b) Except as provided in subsection (c) of this section, the court may assess filing fees, reasonable attorney’s fees, fees for genetic testing, other costs and necessary travel and other reasonable expenses incurred in a proceeding under sections 46b-450 to 46b-553, inclusive. Attorney’s fees awarded under this subsection may be paid directly to the attorney, and the attorney may enforce the order in the attorney’s own name.

(c) The court may not assess fees, costs or expenses in a proceeding under sections 46b-450 to 46b-553, inclusive, against a child support agency of this state or another state, except as provided by the law of this state other than sections 46b-450 to 46b-553, inclusive.

(d) In a proceeding under sections 46b-450 to 46b-553, inclusive, a copy of a bill for genetic testing or prenatal or postnatal health care for the person who gave birth to the child or for the child, provided to the adverse party not later than ten days before the date of a hearing, is admissible to establish: (1) The amount of the charge billed; and (2) that the charge is reasonable and necessary.