It sounds like you've got a typical 216- - - - -they can barely get out of their own way when they're running well, and it sounds like yours needs a lot of attention. Did you also change the points and condenser whrn ther coil went belly-up? If not, it should have been done. Are you running the original 6 volt electrical system? If so, the full charging system voltage of 7.5 while running needs to go to the coil. A "12V" system needs 9.5-10 volts to the coil instead of the normal 14.7 volts at the battery terminals. That's done by putting a ballast resistor inline with the coil primary.
Jerry