I want to apply for work authorization. I'm legal.
You can apply for a work authorization either in the Department of Homeland Security DHS , U.S. or in  Citizenship and Immigration Services USCIS and request a Social Security card from the Social Security Administration.
and for F-1 students what documents are needed?
You'll need to show us the  I-20 Certificate of Eligibility for Nonimmigrant Student Status.