You found where the trouble is. If only this PC has troubles, try all USB ports and the cable that came with the pods. After that there are sometimes folk that build a PC and miss a driver.
I received a new Ipod touch for Christmas. When I plug it into the computer (Windows 10), it shows up as it is connected but it does not show up in ITunes so I cannot sync it. I have downloaded ITunes 12. I have tried unistalling and reinstalling ITunes as well as resetting the Ipod. Any suggestions? Right now I have a very expensive paper weight.