Your Kawi may be like my 79 GS1000. If the starter won't disengage the gears, the solenoid may be bad. Or the gears from the starter motor or starter idler may be bad, or cocked. My starter gear, idler gear, and alternator gear all mesh together with washers, pins, and blind holes on the left engine cover. I would check all those again before pulling the head. On mine everything has to be lined up, with heavy grease holding the washer, while the alternator magnet pulls the cover from your hand. What a pain. Doesn't yours also have a kick start you can use?