The provisions of this article shall not be applicable to the following:
A. Tow service which is exclusively to members of an association, automobile club, or similar organization and receives remuneration only from the sponsoring association, automobile club, or similar organization;
B. Tow service furnished without charges or fee for other vehicles owned or operated by the individual or organization furnishing the tow service;
C. Tow service for other vehicles owned or operated by the individual or organization furnishing the tow service, but which are being operated under the terms of a rent or lease agreement or contract, and such towing is performed on a nonprofit basis or such fee is part of the rent or lease agreement or contract;
D. A vehicle towing service operating from outside of city boundaries which enter the city on a nonemergency towing assignment for the purpose of towing a disabled vehicle to a location outside of the city for repair. (1962 Code § 6-21.101 et seq.)