There is no hunting by anyone of any nationality on the Antarctic continent -- or on earth south of 60 degrees South Latitude.
This is a dictate of the Antarctic Treaty.
Some Europeans do, but most don't.
No. For one thing, there aren't a lot of animals in Antarctica to hunt.
Antarctica, in the 1800s, was the last continent to be discovered by Europeans.
Antarctica
Antarctica.
the europeans hunted beavers
There isn't a whole lot of "they" in Antarctica to hunt, and they're nearly all scientists. Even if they were inclined to hunt, at most of the Antarctic research stations either they'd be hunting the things they're there to study, or there really isn't much of anything there TO hunt. So, pretty much no.
There is no commercial whaling in Antarctica: some countries hunt whales in Antarctica under the terms of The Antarctic Treaty, and purport that the animals are for scientific research.
By colonising Africa, Europeans acquired territory and resources, and could also get free labour in the form of slaves.
They explored all continents including Antarctica. They explored Antarctica in the 1900s and explored the rest of the world in 1600s and 1700s. They continents they knew least about were the Americas, Oceania, and Antarctica.
In the days when lamps and candles lit homes and communities, whalers of all nationalities hunted whales for their blubber, which was reduced to oil for burning. Since the advent and distribution of electricity, this practice has been abandoned.
There is no record that any human hunted fur seals in the Antarctica, because there are no fur seals there.