A merican Labor, Wages, and Sovereignty Act or the American LAWS Act This bill amends the Immigration and Nationality Act to: (1) eliminate the diversity immigrant program, and (2) reduce the worldwide fiscal year level for family-sponsored immigration. Legal Workforce Act The bill revises the employment eligibility verification process. It also increases employer penalties for the unlawful hiring of illegal aliens. The bill establishes a nonimmigrant alien visa for the parent of a U.S. citizen who is at least 21 years old. The Department of Homeland Security shall establish: (1) an employment eligibility verification system (EEVS), patterned after the E-Verify system; (2) programs to block the use of misused social security numbers and suspend the use of social security account numbers of identity fraud victims; and (3) at least two Identity Authentication Employment Eligibility Verification pilot programs using distinct technologies to provide employers with identity authentication and employment verification of new employees.