I know for a fact that if the rear antenna only is bad, and the red KEY light is illuminated, then NONE of the external buttons work. That's how my 08 GT was. I replaced just the rear antenna under the bumper and all returned to normal. It was super easy to replace - two screws and one wire clip. It's right in the center of the bumper underneath. I don't remember the part number, but I ordered it from a Mazda dealer in Birmingham, Alabama. It was around $100.
Thanks. Thats exactly what I wanted to hear. Was any programming of the antenna required? I fould the rear sntenna for $75.