Well...I don't think your situation is typical and I don't have a cure
Back in the days when I used an external/USB drive, I routinely moved it from System A to System B without problems and without paying attention to the "safely remove hardware" icons.
I merely turned it off and moved it. When not connected and on, the drive disappears from My Computer/Disk Management.
When reattached to either system, it went through normal USB-device attachment procedures.
Have you checked Event Viewer for clues?
How To Use Event Viewer - http://www.bleepingcomputer.com/forums/t/40108/how-to-use-event-viewer/
I don't understand any of those words mentioning "netgear" and "add/remove programs". If you are talking about a router, access point, or NIC...those should be removed from Device Manager, not A/RP.