67 Dart Conv. - No Tail Lights, Park Lights, Flashers

Did you note how much current the ammeter was showing when you did this?
and

this?

If volts go to zero at point of measurement, and the ammeter shows discharge, then current is flowing and there is a short or connection to ground before the point of Voltage measuremnt. The ammeter scale is roughly 40 amps at full discharge and 0 in center. Estimate based on that.

Both connectors?