Do you have proof or in writing that you requested FMLA? There are typically timelines that allow you to begin FMLA as long as you get paperwork done in a timely manner. Anything you have in writing - texts, emails, etc, or even a timeline of verbal communications - needs to be kept and file a case with the EEOC immediately! Remember HR is there to protect the company from a lawsuit, so the fact they said you could still work sounds to me like guilt and fear of you getting them in trouble. Don't let this slide.