If pocki drive works on other computers it has to be a driver fault with yours.
You don't say which OS you are using but the principle seems to be that there are traces of the old drivers there or some fault in the basic USB motherboard drivers.
If other USB devices are working then it is the specific Pocki-Drive drivers which need re-installing and there may be enough of the original drivers remaining to kid windows that all is there.
Apart from basic stuff like rebooting every time you change anything (even re-starting to be sure) you may have a tedious search to find and delete the vestigial remains of the old driver.
Then when you are sure (or fed up), try booting normally with the Pocki drive disconnected.......... Then when the desktop is steady, plug the PockiDrive in and hope that Windows will suddenly get the idea and ask you for the drivers.