In which mode does the GSR operate in the check impedance mode?

The GSR only functions in AC mode! So do not use the DC mode.

Regarding the resolution, this is dependent upon the settings in the definition file. When the recorder is programmed with Columbus definition files, then the default settings are: AC mode; 100 uS. If a definition file is used where GSR settings are changed, then these settings are used.

When using the definition files from the old Vitagraph software, the settings are unpredictable.