Hi Jennie,
I am assuming you only have turned everything off like this because of your problem, and you don't do it every night. When turning the 360 back on do you get a welcome screen displayed on the TV. Make sure the TV is set to the correct input for the 360. The light on the 360 should change from red to amber when starting up and can stay there for a few minutes, seems longer when you are watching, the light should then turn white when the box has restarted, if it goes back to red press the power button on the remote.
Really need to know if you get any start up message before the box light stays on amber, or an error code.