(a) The responsibility of a judge described by § 76.002 for personnel decisions is limited to the appointment of a department director and a fiscal officer.
(b) The responsibility of a judge described by § 76.002 for budgetary decisions is limited to:
(1) appointment of a fiscal officer; and
(2) approval of the department’s budget.

(c) A judge described by § 76.002 has judicial immunity in a suit arising from:
(1) the performance of a duty described by § 76.002(a); or
(2) the appointment of a department director or a fiscal officer or an act or failure to act by a department employee or by a department director or fiscal officer.