Create copper fills as usual, then add keep out area and tick “keep out copper fills” only in keep out options (un-tick tracks, vias, pads and footprints), then refresh by pressing “B”.
There is no real reason to duplicate the zones as they are in the original project, but if you do it for aesthetics that is also OK.
Are you aware of: PCB Editor / Place / Add Image? With that function you can add a photograph (or more) of the old PCB to the KiCad project, and this is a great tool for reverse engineering.
I also see some rectangular cutouts in the zone. Those are easy to make with PCB Editor / Place / Add Rule Area. Or with the icon for the rule area just below icon for creating a zone.