Solenoid is shot, keyswitch is faulty. Run a jumper from the positive(+) terminal of the battery and touch the terminal on the solenoid. If it actuates the solenoid, then there's a fault in the keyswitch circuit somewhere.
check the manual choke on the engine. all the way in is off/disabled. 1 click out allows the solenoid to engage the choke , all the way out is manual choke. not un common to get push all the way in.