For a start off, you might want to try spelling the word correctly. And your points are extremely POV, for the following reasons:
If it is correct to use the term "re-took" for what Argentina did in 1982, after a gap of 150 years, then it is also true to say that the British "re-took" the islands in 1833, after a gap of only about 50 years.
The Argentine claim was considered valid by whom? The Argentines themselves no doubt, though certainly not by the Falkland Islanders or the British government. This is pure POV.
To claim that the Argentine invasion of 1982 was not violent is truly preposterous, and grossly offensive. What would you call hundreds of armed foreign soldiers landing in your home and forcibly taking control?