The Department shall license nurse agencies in accordance with this Act for the protection of the health, welfare and safety of patients and residents. No person may establish, operate, maintain, or advertise as a nurse agency in the State of Illinois unless the person is licensed under this Act by the Department of Labor. Being licensed under the Home Health, Home Services, and Home Nursing Agency Licensing Act does not relieve home health agencies that provide nurse agency services from the requirement of obtaining licensure under this Act. No health care facility shall use the services of an unlicensed nurse agency.