What do you mean by pull down? Is that stripping the motor or just taking the tank and seat off to give it a clean?
Assuming the motor is sound, check that there are no insect nests in the carb vents or in the fuel tank vent hose(if it has one) and give the carb a good clean out, making sure nothing is bloked. Most faults with points igntions are condensors , resistor in plug cap , coroded points(clean them with emery tape not a file) sometimes top coil and bottom coil occansionally also check kill switches. Check correct stator wire is going to the coil and points, on a most hondas I have seen it is the black one. I'll say it again, the spark plugs with unleaded fuel can seem to go off after a period of sitting and go black. Make sure you have a non-resistor spark plug(that "R" on the side doesn't mean racing) It is quite common that you can see a spark at the plug but when it is inside the motor under pressure it will track down the side and not fire. The same can happen if the spark is week. If you put a timing strobe light on the lead when you kick it over you should see it flash.