1. The mayor shall preside at meetings of the council and shall certify to the correct enrollment of all ordinances and resolutions passed by it. He shall be recognized as head of the city government for all ceremonial purposes and by the governor for purposes of military law. As councilman at large, he shall have all the powers, rights, privileges, duties and responsibilities of councilmen. He shall have no regular administrative duties except that he shall sign such written obligations of the city as the council may require. If a vacancy occurs in the office of mayor when the office of vice-mayor is vacant, the council shall elect a qualified elector of the city, who may or may not already be a councilman at the time, to be mayor for completion of the unexpired term; and
2. Every year, at the first meeting after the time for the beginning of the term of a newly elected mayor or councilmen or as soon thereafter as practicable, the council shall elect one of its members vice-mayor, who shall serve as such until the next such first meeting. The vice-mayor shall act as mayor during the absence or disability of the mayor, and if a vacancy occurs in the office of mayor, shall become mayor and ex officio councilman from that ward for the completion of the unexpired term. If by succession to the office of mayor or otherwise the office of vice-mayor becomes vacant, the council shall elect from its members another vice-mayor for the completion of the unexpired term.