(a) Upon the trial and hearing of all matters, the State Bar Court may do all of the following:
(1) Take and hear evidence pertaining to the proceeding.
(2) Administer oaths and affirmations.
(3) Compel, by subpoena, the attendance of witnesses and the production of books, papers, and documents pertaining to the proceeding.
(b) In the conduct of investigations, the chief trial counsel or his or her designee, may compel, by subpoena, the attendance of witnesses and the production of books, papers, and documents pertaining to the investigation.
(c) In the conduct of all formal proceedings, each party may compel, by subpoena, the attendance of witnesses and the production of books, papers, and documents pertaining to the proceeding.