sigh... few points
1)Say no to task killers, "running" apps that you aren't using are automatically suspended by the OS. You don't have to manually close anything.
2)wifi uses less power than mobile data, if you're at home in range of wifi. Personally I keep both off, if I need internet and I'm at home or work, I turn on wifi, if not I turn on 3g(mobile data)
That said 80% drain overnight idling means something's wrong. Unless you had 4g turned on the whole time, there is a bad app.
Download Spare Parts from the market. Install and run. Click battery history, and then change other usage to partial wake usage. If anything is taking up a large amount, that app isn't allowing your phone to idle, or sleep.