It will spin faster with the plugs out because there is no compression to slow it down. Once the plugs are in then the starter has to turn the engine through with the compression in place.
When you replaced the points, did you gap them while they were on the tall (high) side of the cam that moves them? If you set the on the flat rather than the peak they will be open all the time and will not generate spark.
If you have a test light, ground it to the engine. Then with the probe touch the terminal (-) that goes to the coil and have someone turn on the ignition switch. If the points are closed the light will not light up, if the points are open then the light will light up. Then have someone crank the engine for you while you continue to hold the test light in place. If the points are opening and closing the light should go off and on as the engine cranks.
If the test light does go on and off while the engine is cranking, you should have spark.
You can also remove the distributor cap and while its dark have someone crank the engine. You should see some sparks happening at the points. If not then double check the gap on the points.
