Paul,
If it were just one door doing it, I'd suspect the solenoid that unlocks the door. Since both doors are doing it, that's less likely.
I assume that the switches on the door function properly for both locking & unlocking the door.
That file I posted earlier explains how to program the security system for several different modes. Maybe try to program it back to the basic mode & see if that helps.
Unfortunately, we have multiple drivers of the VX so I've never used the FOB so I can't be of much help (other than providing the pdf's around here).
Tom