Yes but you parped on about the Islands belonging to Argentina because of an event around 1820, when clearly they "belonged" to someone else first. As for trying to say they are yours because Stone age or Ice age man had possibly been there..........
It is generally accepted that the status of the world is as it is now as a result of colonisation by Europeans, it is also unlikely that the world will ever return to how it was before colonisation.
Conflicts have also changed the ownership of countries, in some cases several times, again some countries have gained land and some have lost land, just what date in history would you like to pick for the rearrangement of national borders? Obviously a date that suits you would not suit someone else, so we cannot realistically change things, and so we have the staus quo that we have today.
Interestingly in 1995 we signed an agreement with Argentina over oil exploration, a treaty that Argentina ripped up, maybe you should ask the Argentine government why they ripped up a treaty that gave shared access in favour of nothing, and then have the gall to complain about it!