The QWK file extension is mainly related to old bulletin board system (BBS) popular in late 90s. A *.qwk is a compressed archive that contains saved message with several control files. It was mainly used on FidoNet and similar services. Largely obsolete by now.
How to open:
This file type is not meant to be opened directly, there is no software that could open and work with it directly, or there is no information available in public sources about opening this file type. This is usually the case of some internal data files, caches, temporary files etc.
How to convert:
As far as we know, this .qwk file type can't be converted to any other file format. This is usually the case of system, configuration, temporary, or data files containing data exclusive to only one software and used for its own purposes. Also some proprietary or closed file formats cannot be converted to more common file types in order to protect the intellectual property of the developer, which is for example the case of some DRM-protected multimedia files.