(a) Whenever it is determined in a proceeding under Sections 10-6, 10-7, 10-11 or 10-17.1 that the responsible relative is unemployed, and support is sought on behalf of applicants for or recipients of financial aid under Article IV of this Code or other persons who are given access to the child support enforcement services of this Article as provided in Section 10-1, the administrative enforcement unit may order the responsible relative to report to the Illinois Department for participation in job search, training or work programs established under Section 9-6 and Article IXA of this Code or to the Illinois Department of Employment Security for job search services or to make application with the local Job Training Partnership Act provider for participation in job search, training or work programs.
     (b) Whenever it is determined that a responsible relative owes past-due support for a child under an administrative support order entered under subsection (b) of Section 10-7 or under Section 10-11 or 10-17.1 and the child is receiving assistance under this Code, the administrative enforcement unit shall order the following:
        (1) that the responsible relative pay the past-due