How many times have you met in person? What was the purpose of the visit? If the intent was to marry and adjust status before US entry, it's considered fraud.
Hopefully you filed for the employment authorization card and requested SS card. With that you can apply for dl or state ID. Until then you would have to use foreign passport.
I think you need appointment for SSN office. Also my wife waited a week after arriving and the clerk couldn't verify her information in the save system. She tried a month after arriving and she was able to be helped. This was last fall as a data point.