No, the software doesn't contain both items. I've downloaded the installation package and then accessed its contents. You have the possibility set only the screensaver. I've checked the installation folder as well as display properties where background settings are located, but there is nothing related to this. When you start the screensaver, it will display only the background animation with the fishes moving all around.
For additional information, access the following link: http://www.serenescreen.com/product/maquarium3/