The world is a relatively peaceful place. Geographically speaking, the Falkland Islands should belong to Argentina. Perhaps as a show of good faith, the United Kingdom should consider gifting the islands back to the South American nation. If a gift won't suffice, maybe Argentina could purchase the islands for a small price. It's the right thing to do.
How can you claim another island. That is like I am near Florence, SC and I claim it because I am near it. That idea is crazy. I believe there are many things that people or countries can claim like religion to the whole town. If people follow the right path in life no one would try to claim anything because you would no right from wrong.