Does rush charges for parking on Sunday or during the week

Yes

Yes ,but u can get a pass for $8 and they also have 5 passes for $35 that never expires

Yes they do charge for parking. Here are the rates: https://www.rush.edu/patients-visitors/directions-and-parking/parking-rush-university-medical-center

They charge both during the week and the weekends. If you are a patient, you can get a parking pass for $8/day