This answer is an unknown, since oil exploration is prohibited under the Antarctic Treaty.
somewhere about none to infinite amounts
About 98% of the continent is covered by ice.
Just under 15% of Antarctica is unclaimed. See the related link for who is claiming what. Just click on it to make it larger.
No oil company work is allowed in Antarctica, based on The Antarctic Treaty.
There is no benefit. Drilling for oil is practically impossible and would not be profitable, since it's too cold for this kind of enterprise. In addition, this work is not allowed under the Antarctic Treaty.
Oil tankers do not sail near Antarctica: it's not on the way to or from anywhere where oil is transported.
Antarctica's terrain under its ice sheet -- covering 98% of the continent -- is much like the terrain on every continent.
There is no mining or oil exploration in Antarctica: it's too cold.
The answer to your question is unknown, since speculation for oil in Antarctica is prohibited by the Antarctic Treaty.
There is no 'oil state' currently in Antarctica, nor will one be developed according to the Antarctic Treaty.
No, Antarctica is a continent.
Antarctica is its own continent.
There are no commercial fishermen in Antarctica.