Are you using the latest version? Check the website to make sure. That *might* help your saving as word doc problem. I've never had that problem, and it's totally unacceptable, so I'd think that one was fixed quickly. In any event, the first step to fixing problems with OSS is usually to make sure you have the latest version.
As for a file degrading after it's drug onto a network drive...that's almost certainly not a NeoOffice problem. Think about it: the file is fine. Then once it's moved somewhere, it's not fine anymore. NeoOffice originally creating the file shouldn't have anything to do with the file's ability to be moved around. Any issues encountered during a move operation should be fixed by cyclic redundancy checks (CRCs) that are run via the operating system.