I haven't worked on a 587 in a while which is why I said to test the stator magneto and we heard that can't be it. The rec/reg rectifies the ac current to dc and then regulates the max it puts out to run the ski and charge the battery. The best check for the rec reg is to check the battery hooked up not running and start and idle the ski and it should go up a little, and then about 14.5 max when revving the engine. Did you check ebay and other places for the mpem?
I found a used one on eBay for 70 bucks, thinking about ordering that one. So If I put another mpem in if the rectifier is the reason mine quit would it fry the one I put in or would I be able to install it in order to confirm the rectifier isn’t the problem?