Hi kabrutus and welcome to the Q&A Forum!
Your camera has 35 - 280 mm equiv. lens, which should cover most of your needs. The lens is also relatively fast lens, particularly at the wide end of the zoom, (F2.8 - F4.2) as far as compact digital cameras go.
Good lighting is the key to taking photos that print well. An external flash would help then taking photos inside.
It would help if you have a link to sample photos taken at basketball games. Your lens is not that fast at the long end of the zoom (F4.2), so you should up the ISO a bit. You will let more light into the camera if you don't zoom all the way. Then you can crop your images when editing, giving the look of having zoomed in closer.
You can get an idea of the accessories available for your model by visiting the Nikon Mall.
http://www.nikonmall.com/category/digitalimagingIn addition, these articles about photographing action will provide other information that will be helpful to you:
http://www.digicamhelp.com/topics/how-to/sport-action/