This is unusual. I have used a large number of different mice (both corded and cordless) and never seen an issue. Lets start with a basic question. Which operating system are you running. I am guessing that since you just received the board you are running the pre-installed Android image. Android turns off the mouse pointer most of the time until you move the mouse. The first thing you need to do is drag the unlock icon to the top of the screen to bring up the main window.
Did you try running the board with just the mouse (no keyboard attached)?
Also check that DIP Switch 3 (USB Host) is in the OFF position.
The default actions of Android is to have an unlock screen and to shut off the display in 1 minute. Usually the first thing I do is change the settings so that the timeout is Never, and the security is None.
Full Disclosure. I am an employee of Qualcomm Canada. Any opinions I may have expressed in this or any other post may not reflect the opinions of my employer.