Section 62A. The owner or person in control of a building in which an elevator is operated shall pay fees to be determined annually by the secretary of administration under the provisions of section three B of chapter seven for inspection and safety tests by an inspector assigned by the commissioner; provided, however, that said fees shall be set at a rate sufficient to meet the cost of the department of public safety for providing said inspections and safety tests; and, provided further, that each city and town may annually set a reasonable fee, and may collect such fee, for elevator registration of each elevator within such city or town. The owner or person in control of a building in which an elevator is operated shall be subject to the following inspections and safety tests:
(1) For the inspection of a new installation, repair, or replacement of power passenger and freight elevators, hydraulic and electric passenger and freight elevators, hand power operated service elevators and temporary workmen's elevators.
(2) For each safety test and inspection of elevators and devices as described in paragraph (1).
(3) For the inspection of a new installation of a private residence elevator or an inclined lift.