When any person is convicted of reckless driving as provided in §§ 46.2-853 through 46.2-864, in addition to any penalties provided by law, the driver's license of the person may be suspended by the court for a period of not less than sixty days nor more than six months. In case of conviction the court shall order the surrender of the license to the court where it shall be disposed of in accordance with the provisions of § 46.2-398. Where the conviction is a second conviction which would require revocation under the provisions of § 46.2-389, the court shall suspend the driver's license of the person and transmit it to the Department as provided by law. If the person so convicted has not obtained a license required by this chapter or is a nonresident, the court shall direct in the judgment of conviction that the person shall not drive any motor vehicle in the Commonwealth for a period of not less than sixty days nor more than six months.