The court may, upon conviction of careless driving, or fleeing from or attempting to elude a police officer under 22.0701 and 22.0705, suspend or revoke a license as follows:

(1) upon first conviction, for a period of 60 days;

(2) upon second conviction, for a period of 180 days;

(3) upon third and subsequent convictions, for a period of 1 year;

(4) notwithstanding paragraph (3), if the person has 4 or more convictions of serious traffic offenses, his license may be revoked permanently.