We lost because we did everything we could to lost, it is hard to image how someone could launch an attack whiout be prepared, even after started we did lot of bad decicions and there was 0 tactic in ground combat, using untrained and unequiped soldiers?... static defenses? planing a seas war whiout waiting to recicibe full supply of the newerest anti-ship system? wth.
Not even the moment was right as we where in risk of war with Chile.
US did provide support to UK, but is was logistical (AIM-9L), satelite images and in the newerest unclasified messages US offered a carrier to operate Corsairs from it, but it never happen.
Argentina never planned to go on war over the islands(actually Argentina and UK where nearly allies until that point), it was just something that happened, it was a attempt of the military junta to hold control of the population, it was either the islands or Chile, they picked the islands, also remember there was a reason for the first Argentina soldiers that landed there to take control over the islands to beign under strict orders to not open fire, it was an invasion in with the soldiers where under orders to not shoot anyone, i not sure on how where their thinking ro resolve the issue, maybe take over the islands and them go on diplomatic talks? it seems foolish.
Thatcher responded to the attack in an attemtp to gain more political power, UK never care over their own people living there, they are just pawns for them. And at least Argentina is not going to come to the islands and kick everyone out of their homes as UK did once.