After a public hearing on the appointment, the Commission shall appoint an experienced neutral third party to serve as labor relations administrator for an initial term of 1 year. After the term of the labor relations administrator appointed under subsection (a) of this section expires, the exclusive representative and the Commission shall appoint a labor relations administrator for a 2–year term from a list of five nominees on whom they have agreed. After the term of the labor relations administrator appointed under subsection (a) of this section expires and after a public hearing on the appointment, if no exclusive representative has been certified under this section, the Commission shall appoint the next labor relations administrator for a term not exceeding 1 year. A labor relations administrator is eligible for reappointment.