Good to hear you got the solenoid figured out.
You will hear this many times on the forum regarding fuel systems.
1 - If you you have the light grey fuel lines on your machine you need to swap them out for automotive grade fuel line. I went to napa and bought more than enough to fix a couple of machines for less than $50. The grey lines deteriorate inside and cause carb problems.
2 - Rebuilding carbs is pretty common on these machines and can solve running problems even though the internals might not look bad when you take them apart. I would suggest rebuilding the carb.
3 - NEVER use a cheap, aftermarket carb kit. Only use original Mikuni carb rebuild kits. The differences are subtle in the parts quality, but it only takes a little to have the machine fall on it's face. Mikuni kits cost more, but this is one of those times you do not go cheap or you will be fighting running issues later on.
4 - At the top of the 2 stroke forum is "the carb rebuild" thread by Mikidymac. Read and read it again, follow the directions. It is the best guide to rebuilding Sea-Doo carbs you will find.
5 - Air leaks into the fuel system are another cause of performance issues. The fuel selector valve is a common area for this to happen. If you have to replace it only get an OEM. Again, aftermarket is cheaper but will probably cause more headaches.
6 -
1992 SeaDoo SP, XP, GTS, GTX Service/Shop Manual - FREE PDF Download!
7 - Hard starting issues can be related to the rotary valve cover clearance be too large. This can be corrected by taking the cover to a machine shop and having them mill the surfaces. There is a section in the shop manual covering the specs, how to measure the clearance and which areas of the cover need to be milled. This clearance issue really came to light with the 91 Sea-Doos, particularly with the SP model. Something happened that year where many machines made it out to the dealers with excessive rv cover clearance and Bombardier issued a service bulletin over the issue. The first SPs I set up all failed the test ride when I tried to start them when the motors were warm. We sent every SP rv cover to the machine shop as part of the PDI that summer. I would suggest doing a quick feeler gauge check of the RV cover clearance if you pull the carb off. Clearance with the rotary valve in place is .009" - .014". Have your battery disconnected any time you get your fingers near the rotary valve, I do know someone with a short index finger who learned the hard way.