Turned over...fires and nothing
Is the "nothing" part happening when you release the START portion of the ignition? I am concerned that for some reason, you do not have power to the coil in the RUN position. Seems to me, if it starts right up and then dies that could be the problem. Try the old clip lead from the battery to the coil trick and see if it stays running. Unless it runs for a couple secs THEN dies? That would be more of a fuel/tuning issue. Not ignition. Keep plugging away and let us know.