Do go check out your points, then, for sure.
The contacts can become pitted and carboned up from arcing.
The worst senario is if the engine crankshaft is rotationally positioned to where the points are only just making contact, and the ignition is turned on. The low resistance contact heats the point surfaces, and they burn and form a carbon insulator. For this reason, you should not leave your ignition switch on without the engine running (or turn the Off-Run-Off switch to Off, which shuts off power to the coils/points).
The coils cannot do their job properly without good points, adjusted correctly.
Do you have a manual to explain how this is done?
Cheers,