green connector ignition

2005 S 12000 miles Intermitently displaying F1 warning and refusing to start. Turn the key a few times and it usually dissapears and the bike starts and runs no problem. Plugged in to diagnostics- Faulty ignition switch. Suzuki dealer said "you could probably just whip out the switch and give...

instead of no power at key switch, there is no power the second i hit the ignition. no engine roll. just power off. i turned the key off and turned it back on. a little delay, but everything powered back up. flick on the fuel injection...hit ignition....dead. after 3 of these, it won't...