^^Had something similar with an old Chris Craft inboard -- shut down randomly and no start. Took a while, but found a carroded plug in the bilge -- Never understand why they would route the harness down there. It's pretty exciting when the engine suddenly shuts down in the middle of the shipping lane, freighter bearing down.
My guess is the OP has a bad keyswitch. If the engine was jump started and run without the harness connected, seems to point to keyswitch -- although could be a short elsewhere. Depending on how it was jumped and run, rectifier would be burned out if it was run without battery connection at any point -- will want to check for charging, maybe tach operation.