I vote for the points too. With the ign off, run a points file or a small piece of fine grade emory cloth between the point contact pads. Yu just want to clean the pads, and they don't have to be shiney, just need to conduct current.
Also, to check the coil for power as suggested, turn the ign on, and use a test light to probe the positive term of the coil. SHould get a light. If using a digital volt meter, you are looking for 12 volts with the key on. Try that and see where you go from there.