battery light came on, steering became stiff,engine overheat light came on

It sounds like the drive belt has come off or has broken. The drive belt would turn the power steering pump, the alternator, and the water pump. Check to see if the drive belt is missing.

this article explain why the battery light on, you can have a look. http://www.chinasinoy.com/service/what-cause-the-battery-light-came-on-stayed-on-92.html