When considering a contempt citation against a child support obligor who is in arrears in child support in an amount greater than three times the monthly child support obligation and the obligor is not current in a court-established plan to repay the unpaid child support arrears, or who has failed, after receiving appropriate notice, to comply with a subpoena relating to a paternity or child support matter, the court shall determine whether the obligor has a motor vehicle operator’s license issued under chapter 39-06. The court may restrict or suspend a motor vehicle operator’s license issued by the state which is held by the obligor. The court shall notify the department of transportation of the court’s decision to restrict or suspend an obligor’s motor vehicle operator’s license. An appeal by an obligor who has had a motor vehicle operator’s license restricted or suspended under this section is an appeal from the court’s order and may not be appealed to the department of transportation. Except for statistical purposes, an entry on the driving record or abstract of a restriction or suspension under this section after the restriction or suspension ceases may not be available to the public other than by order of a court of competent jurisdiction. A suspension under this section is not subject to the financial responsibility reporting requirements.