Actually, I was asking the starter of the thread whether he had a USB dongle or a built-in module, since it's his problem and he asked first. Once we get that resolved, then we can move on to the iMac problem. Don't hijack matchbox's thread.
I still don't understand what "My bluetooth mouse will NOT restart my Imac once it goes into sleep mode. The same goes for the bluetooth keyboard." means... Your mouse shouldn't be able to restart the computer, nor should the keyboard. If you meant "wake from sleep," then say "wake from sleep," not "restart the computer," which are extremely different things.
So, once again, matchbox: built-in or dongle?