Additional reinstatement fee, license to operate motor vehicle, when — proof of financial responsibility, not required, when

1. In addition to other fees required by law, any person who has had a license to operate a motor vehicle suspended or revoked following a determination, pursuant to section 302.505, or section 302.410, 302.574, 577.010, or 577.012, or any county or municipal ordinance, where the defendant was represented by or waived the right to an attorney, that such person was driving while intoxicated or with a blood alcohol content of eight-hundredths of one percent or more by weight or, where such person was at the time of the arrest less than twenty-one years of age and was driving with a blood alcohol content of two-hundredths of one percent or more by weight, shall pay an additional fee of twenty-five dollars prior to the reinstatement or reissuance of the license. 2. Any person less than twenty-one years of age whose driving privilege has been suspended or revoked solely for a first determination pursuant to sections 302.500 to 302.540 that such person was driving a motor vehicle with two-hundredths of one percent or more blood alcohol content is exempt from filing proof of financial responsibility with the department of revenue in accordance with chapter 303 as a prerequisite for reinstatement of driving privileges or obtaining a restricted driving privilege as provided by section 302.525.