I would expect that the minimum wage workers would be limited to the number of hours that prevent unemployment bennies; thus, the employer is in the clear. Jus sayin...
Maybe; unemployment payments are a state program. (The feds either outright gave or “loaned” many billions to many states during the worst unemployment period of 2008-2009.) I know that a couple of years ago CA did not distinguish between full time or part time; they asked how much did you make each of the last six quarters, and based the payment on the highest quarter.