Yes, it is fully compatible with Nikon Z-series cameras (like the Z6 or Z7) when used with the Nikon FTZ or FTZ II mount adapter.
No, the Nikon 85mm f/1.8G does not have built-in image stabilization. It relies on its wide f/1.8 aperture to maintain fast shutter speeds in low light.
The lens uses a standard 67mm screw-on filter thread for UV, CPL, or ND filters.