I will guess the pool is indoors and has some sort of halogen lighting.
1. With that in mind I would probably only use 800. Even though the camera can go to 1600 and possibly 3200, the pictures most likely won't look as good.
2. If you are using the built in flash, it generally won't go continuously. Nor will it do it in the auto/green symbol mode. I guess there are too many things to adjust in the auto mode for it to snap them continuously.
As for hints, using the base camera and kit lens, keep the aperature as wide open as you can to let the most light in. I think the kit lens is 4 - 5.6 depending on the zoom. Next you want the shutter speed to be around 1/500th or so in order to freeze the motion. This combination may not be possible all the time.
You need to be as close to the pool as possible (not in it though

) and generally not in the stands. So if you can get to the end of the lane without being yelled at, that is a good spot. Also the on-board flash doesn't do very much when you are far away (>15 - 20 feet).
A lens with an f2.8 or f1.8 fixed aperature is really helpful but can sometimes cost more than the camera. The bigger external flash is also helpful and 2 that are master/slaved off of each other is better. However this isn't cheap but does result in better pictures when done right.
When shooting fast pictures, a monopod or tripod will help keep the operator movement/shaking from interfering with the pictures.
Generally when shooting continuous pictures, always get 3-4 pictures per button push. This way the probability of getting the "perfect" shot is higher and being digital it doesn't cost anything.
www.dpreview.com and
www.fredmiranda.com also have forums where the experts give more hints and ideas.
Bill