If the mouse is a corded USB, try it on a different computer, if it works, then plug the mouse into a different port on your laptop. If it is a wireless mouse, check the batteries, and try moving the USB receiver to another port and installing the drivers.
If that doesn't work, when the system powers on go into the BIOS setup and make sure that all of your USB ports are turned on.
If it is the trackpad, and you are having other issues on a brand new laptop, you may need to contact the company where you ordered it from and let them step you through any specific troubleshooting problems and/or request a RMA or refund (worse case scenario).