I'm not quite understanding your last post. Probably that means you didn't understand mine, so we're even
. Before you go out and buy a new solenoid try this test:
Unplug the connector with the two small wires going into the solenoid. This is the solenoid actuating coil. If you apply 12 volts across those two little wires going into the solenoid you should hear a "click" and the starter should turn.
If you have some small alligator style jumper clips then connect up the two small solenoid wires across the battery and see if the solenoid works (Caution - set the brake, put it in neutral, etc - if it starts we want the quad to stay put
). If you don't have jumper clips then use your meter leads. Unplug them from your meter and use them to do the temporary connections. You might need two people (4 hands) for that, and be really careful not to short the battery out with your leads while doing this. It doesn't matter which way around you hook up the two small solenoid wires to the battery.
If the solenoid works then its back to bad wiring or the start button. If the solenoid doesn't work then just about any old quad solenoid will work as long as it has two wires for the actuating coil, and it will fit mechanically. Ebay has quad solenoids, and would just about any online quad parts vendor. Save your old solenoid connector pigtails in case you need to cut off another solenoid actuating connector and solder on your old one so it will mate up to the wiring harness.