Welcome to the seadoo forum Dave. If you jumped started the seadoo with a battery, or a jump box, than no you didn't do any damage to the MPEM,(Multi Purpose Electronic Module). If you used a car say, to jump start it or a battery charger, than you could have done some damage. The electrics of the mpem would receive a surge from another machines charging system and first blow the fuse and then possible damage the MPEM. It is possible that you have water in the fuel or in the engine. Check by pulling the spark plugs out and crank it over. Use the grounding studs to put the spark plug caps on, to prevent any problems to the ignition coils. See if it spurts out water. If it is clear than check the carbs for water inside them. You need to give us more information about you seadoo XP, like the year might be useful. I would add the model and year in your avatar, for future advice in the forum.
It sounds like you need to remove the carburetors and clean them. If you're careful and don't tear or damage the diaphragms you won't need to buy a rebuild kit. Pay attention to the internal filters too. If you have gray fuel lines you need to replace them with black fuel lines available from auto parts stores like Auto Zone. Measure the length you need and bring a sample with you so you get the correct size. Replace one at a time so you don’t get them mixed up. If you need clamps replace them too. Use small stainless steel clamps also from the auto parts store.
The High Speed screw is set to "0". These have a plastic cap on them to keep them from being turned any more than 1/4 turn. The Low Speed screw is set to 1 1/2 turns. The screw has a pin through it. If you need to adjust the idle speed do NOT use the low speed screws to adjust it. Use the IDLE Screw to adjust both carbs at the same time. When adjusting the carbs be sure both carbs are in sync.
I hope this helps.
Karl