(a) Upon order of a court of this State or upon request or order of a court of another state, or following acknowledgment as provided in section 584A-401, the department of health shall prepare a new birth certificate consistent with the findings of the court or in cases of acknowledgment under section 584A-401, consistent with the acknowledgment, and shall substitute the new birth certificate for the original birth certificate.
(b) The fact that a parent-child relationship was declared or acknowledged after the child's birth shall not be ascertainable from the new birth certificate, but the actual place and date of birth shall be shown.
(c) Unless the court orders otherwise, the evidence upon which the new birth certificate was made and the original birth certificate shall not be open to inspection by any individual other than the parties to the proceeding, the child who is the subject of the birth certificate, their attorneys, and the department of health. A court shall only authorize an individual to inspect the evidence upon which the new birth certificate was made for good cause shown. The individual seeking to inspect the document may be required to pay the expense of preparing a copy of the document to be inspected.