|Mother Board||INTEL DRAGON TAIL P35DPM L1G+FW 1333Mhz RAID||Graphic Cards||ATI SAPPHIRE HD 2600XT 512M DDR3 D.DVI HDMI 128BIT||Processors||INTEL E7200 2.53GGHZ CORE 2 DUO 1066MHZ 3M BOX|
Lets try to get some information here. You have mentioned that you tried the same mouse on your brothers computer and it still did not work? If yes, this could be the problem with the mouse.
You also mentioned that you have tried it on other USB ports on your computer and it still did not work. What is the operating systetm version you are using? Can you try another USB device on your computer other than your mouse and see if it works. If it works, then your USB ports are fine and you need to buy a new mouse.
If you suspect that the Management Engine is causing you the problem, you can disable the device from device manager and then try your mouse. I highly suspect nothing will change since Intel AMT and ME does not have anything to do with USB ports on the platform.
Hope this helps.