Odds and Ends
There are three sheep per person in Australia. New Zealand h
24 9, 6:26pm
In fact, Argentina exists since 1824, year their Independence War started in 1810 ended, under the official name Provincias Unidas del Río de la Plata (but after taking out what would become Bolivia and Uruguay, the name used commonly for the territory was Argentina). It's true, however, that they lacked a national government until 1854.
Río de la Plata took possession of the Malvinas in 1820, in the middle of the war, under the basis of inheriting Spanish sovereignty, and as they weren't invaded by other factions, at the end of the war they belonged to the emancipated territories under the denomination of Argentina.
In 1833, taking advantage of an attack the US had made on the capital in retaliation to actions taken by its government against seal hunters over fishing (hunting) rights, the UK sent a Cruizer-class military ship to "re-establish" British rule over the islands on grounds of "prior discovery" (which have been since then discredited, as by the suppossed date of its discovery the islands had been appearing in maps for decades).
While the Argentinian residents had to leave because the US attack had left them without means to oppose the British, Argentina has been trying to reclaim them from the start, with a couple of minor attempts made prior to the Falkalnds War, but mostly symbolic due to the difference in military power.
As of currently, the islands are in a state of non-autonomy, meaning that they are not formally British territory while still belonging to them (the UK administrates the islands but does not include them inside their national territory). To the point that British consider the Falklands have all of the rights of a nation EXCEPT the right to administer itself, which is a common tactic of theirs to maintain colonies while presenting themselves as a non-colonial nation.
About what you say, the people who have lived there include spanish sailors and fishermen, argentinian sailors and fishermen, (while only short-lived) US seal hunting settlers and british-descending shepherds and fishers. The islands are not as cold as some regions of Argentina (usually 5-25 ºC in the summer, -0.5-10 ºC in the summer, which is not that cold of a region) and British Government mostly never paid it attention until after the Falklands War, so they mostly only rule them due to pride.