Is there a case when employer suspends me pending firing but labels it a firing a month after without notifying me first?

I was suspended pending termination in Jan. Without understanding, I filed for unemployment insurance mid-Feb. but never filed a week's benefit claim. My former employer sent a required letter to me saying I was terminated on Feb 1 only after I spoke with them at the end of Feb. I couldn't reach them until that time, being hospitalized most of mid-Feb because of a seizure attack. They're saying I have no coverage for that time although I didn't receive a termination notice until end of Feb. Only the suspension pending notice. Do I have a case for my insurance coverage of hospital costs?