The beepers / sensors however will not shut off the engine for you... the 98 XP simply isn't that smart. Over fueling won't usually over heat... I'd think that would be a lean conditin.
I agree with a
fuel issue.
If you want someone in your area to look at it for you, I have a friend in Harrisburg who has a constant 2-3 week backlog of work and is much cheaper than a dealer. He's the one who taught me most of what I know.
I would check the fuel lines, filter, carbs, carb filters, and cooling system, but since it's 33 outside here in PA, it may be a bit chilly for riding
I agree with Minne, I was going to say that it sounds like it's running rich, but the cold engine can handle that. (and he beat me to it)
Did something jam the choke plates closed? or pull on them so they are currently not wide open?
While your in there, get us a compression reading as well.
Since it's winter, just get those carbs off and clean everything up. You can remove them WITHOUT removing the pipe. Do NOT remove that pipe unless you have to, it's not fun to get back on.
Remove the 2 air 'horns' from the top of the engine. there should be a washer on each side, don't lose these parts, they are stainless steel and not cheap to replace. Don't not install a part because you dropped it. Don't be lazy / cheap.
Unstrap the oil tank, leave in the hull. Remove the enormous air box, un-clip on top, then out the FRONT of the ski.
Stand on the port side of the ski, and use a 8mm allen wrench on a 2" long 1/4" extension w/a 1/4" ratchet to remove the carb bolts. You will need new carb gaskets to reinstall. (I think it's 8mm, might be 6)
Drop the carbs off the engine to the hull, remove the fuel lines, there is an IN, an OUT, and a pulse line. There is also the pull cable from the throttle. Flip the carbs upside down in the hull and you easily remove the throttle cable. then slide out the front.
I've done so many by now I could almost do it blind...
Your carbs should be: High Speed: Closed. Low: 1.5 turns OUT from closed.