Former Hollywood producer and powerhouse Harvey Weinstein was rushed to Bellevue Hospital for a battery of medical exams on Saturday, days after the New York Court of Appeals overturned his 2020 rape conviction, setting the stage for a retrial. According to NBC News, Weinstein, 72, was returning to Rikers Island jail in New York City in preparation for his upcoming court appearance. After being checked out by Rikers doctors, he was moved on to the Manhattan hospital, according to NBC. The former movie mogul had been transported from Mohawk Correctional Facility near Syracuse, New York, to a me…