I'm not sure that this link really helps your case, given these key points from the description:
The resolution by the British representative, Ambassador Sir Anthony Parsons
demanded an immediate cessation of hostilities between Argentina and the United Kingdom and a complete withdrawal by Argentine forces
Resolution 502 was in the United Kingdom's favour by giving it the option to invoke Article 51 of the United Nations Charter and to claim the right of self-defence
I’m not sure that this link really helps your case
The parts you quoted were about self-defense and stopping the fighting, not about the ownership of the islands.
I quote it because it also talks about negotiations that should be begun when it comes to the ownership of the islands, in lieu of continuing the fighting.
I'm already on record about stating that the fighting was wrong, though I don't know how long anyone would expect a nation to wait for a diplomatic solution.
but surely you realize that Argentina shouldn’t expect (or want) to gain sovereignty over the Falklands
No, quite the opposite actually. I believe they have more of a claim to the islands than anyone else, via Spain's ownership of said lands that Argentina inherited when they gained their independence from Spain, as well as the proximity to Argentina, and finally to the fact that Great Britain was speaking with Argentina about turning them over, before the stupid war was started.
Now, having said that, IANAL, so don't know what the law would say about that. Really don't think we'll resolve the issue here on Lemmy.
I fail to see any tangible benefits of ceding islands inhabited almost exclusively by British and French people to a former Spanish colony, but perhaps you know more than I do.
It also talked about the starting negotiations to discuss the future of the Islands, aka return them (because I doubt they would have gone with a timeshare/co-op plan.
That’s what you understood after reading the page you linked?
I should have been more precise in my language, and that say that the UN wanted them to negotiate a peaceful end to the war and ownership, but generally speaking, yes, based on follow up votes/press releases that the UN made on the subject (like this one).