Keyless entry malfunction, radio/clock on when key is out

My keyless entry suddenly does not work and I'm wondering if maybe the module went bad. The manual doesn't indicate where it is nor does it show the remote entry system has a fuse that has possibly blown. Does anyone know why the keyless entry malfunctioned? Also, I tried cycling the ignition on and off to reset the remotes but the locks didn't lock and unlock like they were supposed to. So, obviously something is going on with the system. Something else weird and probably unrelated has happened as well; My radio now stays on with the key out of the ignition whether or not the door is open or closed. I can turn the radio off but the clock still stays on when it normally shouldn't. When I press on the brake, turn on a light, or anything that draws power while the car is off, it temporarily shuts the radio and clock off for at least as long as power is being drawn away from it. Can anyone help Please? Thank you.

check you BCM or MALL module. There are diagnostic procedures.. check if there are any DTCs stored in the BCM/Mall module.