Check the voltage across your battery. Should be a little ove 6 volts. Then with the ignition on, check the voltage at the coil. If the points are open, the voltage on both sides of the coil should read very close to battery voltage. If zero volts, start tracing back to the ignition switch. If you have battery voltage on the coil side of the resistor, you have a bad connection or broken wire to the coil. If you have battery voltage on the ignition switch side of the resistor but not on the coil side, the resistor has gone open circuit. If zero on both sides of the resistor, check for voltage to the resistor at the ignition switch. If you have battery voltage there, the wire from the ignition switch to the resistor is open. If zero there at the resistor side of ignition switch (with the ignition switch on, of course), check voltage on the battery side of the ignition switch. If you have battery voltage there, the ignition switch is bad (not uncomon). If you do not have battery voltage on the battery side of the ignition switch, the wire from the battery side of the starter solenoid to the ignition switch has gone loose or broken, or has a corroded connection.
If the points are closed, the voltage on the battery side should read about 4.5 volts, the drop being caused by IR drop across the resistor. The voltage on the distributor side should read very close to zero. If the voltage is less than 4 volts, the resistor may need to be replaced; but check the wire from the resistor to the coil for internal corrosion. If you see any green corrosion on either end of that wire, it must be replaced.
Too get between open and closed points you will need to turn the engine small amounts. That can be done with a big wrench on the crankshaft pulley nut, but it is usually easier to put the car in high gear and push the car a few inches while watching for the voltmeter on the distributor side of the coil to change from battery voltage to zero, or vice versa.
Good luck. Report your findings please.