Other items that can kill your engine
1. thermister: check it by unplugging it and by using another short piece of wire, connect the two leads together that plugged into the thermister. Symptoms are that the engine will not start or run. Usually the leads get broken coming out of the top of the thermister.
2. high-low beam switch: check it by disconnecting it from the system Symptoms are that the engine runs eratically, tach is not accurate and cannot get full rpm
3. coil
4. cdi box Symptoms are that the engine suddenly and temporarily kills. But then start back up.
5. gas pump upgrade suction hose: Symptoms are that when engine gets warm from heat under the hood, the new and improved Polaris suction hose collapses at any bends that may be present. The new hose is a complete joke.
6. Stator: symptoms of a stator going bad are that while idling, the engine suddenly kills. But it restarts right away for awhile.
7. spark plug connectors They will corrode and lose contact. Replace with the personal water craft plug connectors.
8. spark plug wire The last bit of the wire will corrode and lose contact. Snip off the last 1/4" and reinstall plug connectors
9. Other electrical plugs will come lose but not appear to be lose. Zip ties can be used to snug those together.
Your problem sounds like either the stator, the thermister or the high-low beam switch. Check everything else first. Check the stator last. Used stators are not dependable. Stators only last about 3000 to 4000 miles and you don't know how many miles a used one already has. If you have an identical running sled, you can swap parts one at a time, until yours starts.