My car wont start

My 2002 saturn ls 300 battery light came on and the car just shut off wednesday night. Then I bout five minutes later the, whole car shut off. So the next day I went to auto zone to charge my battery. They said, the batery and it was fine. Put the battery in my car. It turm like it wanted to start but it didnt crank. Soalll the lights were on heat and radio came on. So we left it alone we went back the next day and the next day and the car didnt have any power. Tried to jump it off but it still just act like it wanted to crank