Q. Would W-2 still be the form I should ask from them?
A. Yes. Although other forms, e,g, 1099-NEC and 1099-Misc can show federal and state income tax withholding, only the W-2 (to my knowledge) shows FICA (social security and medicare) withholding.
I like @ThomasM125 's suggestion: contact the employer, directly, for a refund.
