(A) A person while operating a motor vehicle under a special restricted driver's license who is convicted of a point-assessable traffic offense or involved in an accident in which he was at fault shall have the removal of the restrictions postponed for six months during which period the licensee must be free of any traffic convictions.
(B) A person while operating a motor vehicle under a beginner's permit or a provisional or a special restricted driver's license who is convicted of one or more point-assessable traffic offenses totaling six or more points, as determined by the values contained in Section 56-1-720, shall have his license suspended by the department for six months. This suspension shall not preclude other penalties otherwise provided for the same violations.