Subject to § 12–804(d) of this subtitle, the number, residency requirements, means of appointment and removal, qualifications, and terms of office of the members of the Authority shall be as specified by the county and based on the recommendation of the Authority members described under § 12–804(d)(1) through (5) of this subtitle. The officers, employees, and agents of the Authority shall be appointed and removed as specified by local law. The exercise of all powers, authority, rights, and obligations of the Authority shall be as specified by this subtitle and local law. An act of the Authority may not be challenged on the basis of the absence of qualifications of a member of the Authority if the member: has been appointed by the appropriate authority designated by local law; and has taken the oath of office.