Car wont start unless door is open

Now that you've had a night to sleep on that, here's a tip on making the most of checking for voltage.

Normally the voltage in all of the feed wires should be the same.
Even when the key is turned to 'run', the items on that circuit do not draw much current.
Therefore, with the engine off and key in run, voltage at all of the junctions in the run circuit should be the same as voltage at the battery positive terminal.

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With the key in run and the engine off, the voltage measured at the N cavity in the firewall connector should be the same as at the battery.
If not, note the difference and note how much current the dash ammeter is indicating.
Differences in voltage indicate resistance to current flow.

Lets say you measure 11.5 Volts at the ballast resistor, 11.5 Volts at cavity N. Seems low! But is it resistance or just a low battery?
Leaving the key in run, look at the ammeter reading and a measure battery voltage. Then you'll know.
If the ammeter shows 5 amps and the battery voltage is 11.6 V then its just a low battery. Put it on a charger.