Can a state agency diagnose medical issues on someone applying for unemployment?
It depends on what you mean by "diagnose medical issues". If you
mean medical diagnosis per se, not unless they are a doctor. If you
mean whether questions that relate to medical application vs
technical unemployment requirements that has nothing to do with
treatment, cause of medical problem (unless, of course it may
relate to working conditions), etc. then yes they need to deal with
those issues.