If the lens has an 82mm filter thread, then yes. Nikon must make over 80 different lenses with different filter threads. We have no way of knowing which one you have
You can't screw a filter onto a camera. You screw it onto lenses. And we don't know which lens is mounted. This set can be mounted on lenses with a diameter of 58mm.
According to the overview, this filter set is not available at digitec.ch. I wish you a good start and hope that you will find what you are looking for elsewhere.
Yes, they are. You have to make sure that the lens has a matching thread at the front, and not a fixed lens hood. And of course the correct size of the lens, which is labelled with a Ø number on the front of the lens.
Unfortunately, there is no room for manoeuvre. There may be diameters larger than 85mm (95mm as far as I know), which you could then mount with an adapter ring.
Yes, filters almost always have the same front and rear threads. An exception is of course a step-up or step-down filter where the threads are specifically different.
The Hoya Digital 3x Filter Kit 49mm filter thread fits the Canon lens EF-M 15-45mm. Always pay attention to the filter thread specifications on the lenses (depending on the focal length range) as an example Canon lens EF-M 18-150mm filter thread 55mm).