Your statement and question appear somewhat confused. Perhaps you were upset when you wrote it. It might be helpful to ask again. You talk about discrimination but your question focuses on unemployment compensation.
One critical piece of information you left out was whether you were in a probation period: whether you were a supervisor (that was implied), and whether this is an employment at will state.
You may want to check in with a labor lawyer about the discrimination on age and sex. It sounds like they put an improvement plan in place and you decided to leave before it was complete.
You may need to work for a certain time before you can collect unemployment payments. You should check with your local unemployment office there. they know the rules.
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