(1) Establish maximum speed limits for motor vehicles traveling upon the regulated streets and drives;
(2) Direct the flow of traffic on the regulated streets and drives;
(3) Prohibit the parking, during normal business hours, of motor vehicles on the regulated streets and drives;
(4) Establish or assign parking spaces that shall be available for use as designated by the various offices or persons working in the State Capitol Building or in any of the other buildings on the State Capitol grounds and regulate parking by elected officials in the spaces set aside for that purpose; and
(5) Do all other things reasonable and necessary to properly regulate and control the flow of traffic on the State Capitol grounds and to provide parking facilities for use by the public on the grounds.