If you have 12 volts from one side of the resistor to ground, and 1 volt from the other side of the resistor to ground, the resistor or a connection to it is bad. It's feeding 1 volt to the ignition system which isn't enough to run the engine. But if you have 1 volt between the two sides of the resistor, that's low (it should be in the 3 or 4 volt range) but not too far from what it should be.