Kenwood NX radios can be set up for a read restrict or a read/write restrict. To read or read/write, you need the password that was programmed into the radio.
Purchasing used radios off e-Bay really opens you up to this sort of stuff. The seller either didn't know what they were doing, or they knew and were dumping the issue on you. I suspect that the seller will deny any knowledge of the issue.
KPG software for the radio with the correct engineering password will bypass the password, but getting that info isn't easy. Ideally you need to send it off to Kenwood. There are people around that have the engineering password for the software. I don't have it, don't need it.
Be cautious if someone offers to "sell" you the password. As always "buyer beware" wether it's e-bay, or anywhere else.