Brian Welcome to the seadoo forum. It sounds like you need to pull the carb and give it a cleaning. If it has been sitting for awhile the old fuel evaporated and more than likely gummed up the carb. It needs to be cleaned and that should be 1/2 your problem. Be sure it has fresh fuel and the other lines the other members suggested to check, all check out fine too. If you need a manual to help out the forum has a large library available to "premium Members"
Here is some more information on the "premium membership";
As a premium member you can down load a authentic seadoo manual from the seadoo manual library. In the library is a variety of manuals for almost all years and models. You can view as many as you like on line as a PDF file, or download it and print it for your personal and private use. There are operator manuals and repair manuals for you to do your own repairs on your seadoo. The repair manuals have everything from troubleshooting, repair procedures to winterizing. It contains wire diagrams torque specs and pictures for disassemble and assemble instructions. In the spec sheets it tells everything needed to maintain oil changes, spark plug gaps, carburetor rebuilds and impeller wear ring tolerances. Click on the "Seadoo Manuals" link at the top of the page for more details. If you need any help or get in a jam, we are always here to answer your questions too. Premium members get priority when it comes to getting quick detailed answers.
I hope this helps out. Keep us posted on your progress and give us a shout if you get stuck.
Karl