and Control Act of 1983 - Title I: Control of Illegal Immigration-Part A: Employment - Amends the Immigration and Nationality Act to make it unlawful for a person or other entity to: (1) hire, or recruit, or refer for a fee for U.S. employment any alien knowing that such person is unauthorized to work, or any person without verifying his or her work status (applies to employers of four or more employees); or (2) continue to hire an alien knowing of such person's unauthorized work status…