First we should sort out what you tested. If the only thing that came on was the 12V power then that is normal. Make sure you actually turned on your turn signals, brake lights, etc. or the test lights won't receiver power to light up. This can be seen in the video below for the # C66NR. Assuming that is what you did then yes, I would say the issue is on the vehicle side.
Since it is a factory connector it can be replaced with the # HM40975. However, before replacing it I would test... view full answer...