When any such badge or card has been delivered to any employee, the person, corporation or City department issuing the same shall furnish to the Director of Public Service the number of such badge and a duplicate of the identification and description contained in the card. In case any badge or card so issued has been lost, mislaid or stolen, or has not been returned by any employee after his or her authority to enter dwellings or other buildings has ceased, then the person, corporation or City department which has issued the same shall immediately notify the Director of such fact.