Okay, a quick, and real history of the Falklands/Malvinas
Circa 1400: There is some evidence of human occupation around 1400CE (charcoal, stone arrow heads). There is no evidence of prolonged occupation that I'm aware of.
Circa 1500: The Portuguese have a map with some islands off the coast of Patagonia called the Sansoms - but there's no extant report on them, and they're thought to be far too close to the mainland.
1592: English explorer Jon Davis, on Cavendish's second new world expedition took refuge amongst "undiscovered" and uninhabited islands broadly where the Falklands are. Problems measuring Longitude at the time casts some doubt, as he thought he was 240km off the mainland, not 360.
1600: Dutchman, Sebald de Weert landed on the islands, which were uninhabited, and called them the Sebald Islands - thinking himself their discoverer - possibly correctly, certainly the first to be beyond doubt.
1764: The first colony was established by the French: the islands were uninhabited on their arrival. Naming them Îles Malouines.
1765: The 2nd colony was established by the English: apparently thinking them uninhabited, unaware of the French colony (at least, officially unaware).
1766: Spain buys the islands from France (or technically, from Louis de Bougainville, who'd founded the colony).
1770: Spain discover the English, and remove them by force.
1771: The English re-establish their original (2nd) colony - and this time the Spanish allowed it.
1776: British military support was withdrawn, but the colony remained. Britain maintained a proclamation of sovereignty.
1780: British colony removed by Spain.
1811: The Spanish leave, and the islands are, once again, uninhabited. Spain maintained a proclamation of sovereignty.
1820: Islands were claimed for 6 months by American pirates declaring them for United Provinces of River Plate. No attempt to establish a colony was made.
1823: UPRP settlers land, they stay for about a week.
1826: Ditto.
1828: Another attempt - this time with requested (and rejected) assistance from Britain (I don't know if this was also protested).
1829: UPRP designated the islands as their own - under protest from the British government who still proclaimed sovereignty.
1832: Britain sends a naval task force to back up their proclaimed sovereignty.
1833: The colony is handed over to the Brit.s (this is disputed as Argentina claim the colony was expelled, but given the a colony continued with people of the same name, this seems dubious).
1953: Argentina offers to buy the Falklands from Britain, but are rejected.
1982: Argentina invade, and hold the islands under military occupation for 74 days before surrendering.
TL:DR:
There are no indigenous population to be displaced. Any arguments based on this are 100% spurious and either ignorant or bad faith.
"We saw it first" is disputed between the Portuguese, the English and the Dutch - none of whom did anything with it at the time.
"We got their first" is certainly the French (later sold to Spain), with the English also making a claim - their ignorance may have been genuine, or it may have been the innocence of a prop after collapsing a scrum.
"We proclaimed sovereignty first" is Britain, with Spain 2nd and UPRP 3rd.
"We established the current bloodlines" appears to be UPRP, but Argentina refute this... somewhat oddly. NB: This colony was legally disputed from before it was founded.
"Might is right!" Difficult, the Spanish remove the English by force, twice - but both leave of their own accord later. Britain exhibited might to back up their legal case in the 1830s. Obviously, Argentina tried and failed 44 years ago.
"We've been here the longest" is certainly Britain - the Spanish managed 45 years, but left of their own accord; the British have managed 93 years and counting (+14 if you want to count those, but I wouldn't).
