I comment to you that I have a American model 2003 which presents the continuing problem:
the key allows to light the car, without any problem and activate the insurance of the front doors when the key placed in the door of the car, however it does not allow the opening of the insurance of the doors or the activation of the alarm when I do it in the distance, that is to say the remote control. I tell you to change the control pile and the problem persists.
I appreciate your collaboration, your contributions but above all your time to support me.