I have not had any luck getting this engine to run by simply applying heat and/or cold and adjusting the timing, so it looks like it is going to require an overhaul.
An obstacle to that end is, first of all, I don't want to damage it, and two, I don't know exactly how it was put together. Various bits could be pressed on or threaded or perhaps even pinned. The magnetic drum for example appears to have a brass plug that was pressed in, so replacing the magnet, if necessary would probably involve drilling out the plug. Thankfully though the magnet seems to be in good working condition, so that should not be necessary.
The first thing I'd like to do is take out the piston and clean the cylinder, examine the piston and check how well it seals, if at all, however, removing the arm to get the piston out has presented a problem.
There appears to be a cap nut holding the rocker arm in place. I don't know if this is threaded, reverse threaded, pressed on, glued on or what.
If there is anyone with any information on how these engines were made willing to share some tips on getting this engine apart, that would be wonderful. If not I guess I'm on my own.

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Fist of all, does anyone know, is this nut[?] threaded, pressed or glued. Whatever the case it does not want to come off easily, if it is even a cap nut at all. Perhaps the entire post is all one piece and threaded or pressed in at the other end.
Perhaps it would be better to do nothing to "restore" this engine, rather than risk breaking it.