It's a little bit difficult to fully follow the question but.... assuming you acquired the case and movt/dial from a seller/sellers but they weren't fitted together and are asking does the dial/movt fit the case.
The case looks legit (but it would be more helpful if the 'holder' didn't have their thumb on the important inner case back info)
The dial looks legit
the 564 movt looks legit
However, without knowing the origin of the dial/movt, it is impossible to say with all certainty that they fit a 168.005 case.
The dial and movt could come from a late 168.004 or 168.010 references, in which case the dial will not fit a 168.005 case.
It all depends on dial size.