4.—(1) The charter trustees established by regulation 3—
(a)may in every year elect one of their number to be city or, as the case may be, town mayor and another to be deputy city or, as the case may be, deputy town mayor; and
(b)may, subject to any provision made by a grant under Her Majesty’s prerogative or any provision of a charter granted by Her Majesty under section 245 of the 1972 Act, exercise any powers to appoint local officers of dignity exercisable immediately before the establishment date by the council of the existing city or, as the case may be, borough the whole or part of the area of which comprises the area for which the charter trustees are established.