Yes, it can be mounted on FX cameras, but the camera will automatically switch to 'DX Crop Mode,' resulting in a lower resolution image to avoid vignetting.
No, the Nikon 18-70mm f/3.5-4.5G does not feature Vibration Reduction (VR). A tripod or faster shutter speeds are recommended in low light.
The lens uses a 67mm screw-in filter. Because it features Internal Focusing (IF), the front element does not rotate, making it ideal for polarizers.