http://www.hondatwins.net/forum/index.phpThe best site for Honda CB350 twins.
As for troubleshooting, the coil should get twelve volts when the key is turned on and handlebar kill switch is in RUN position. From there, current flows thru the coil to the points. Current flows to ground when the points are closed and current flow stops when the points open. Stopping current flow is what sparks the plug.
So, with points open, you should see 12 volts at the points. With points shut, that drops to zero. This 'drop to zero' confirms that the points are actually touching when closed and not corroded etc.
Beyond those few checks, a couple new (or at least a confirmed good) plugs wouldn't go amiss either.
Good luck, Welcome aboard, post some pictures of your new ride if you get the chance, and enjoy!
Kirk