The UK could easily press the Ark Royal back into service and still has HMS Illustrious. Even if the Argentine Mirages could get past the UK's type 45 destroyers, which is unlikely because the type 45 is considered the best air defence class destroyer in the world, they would still have to contend with an upgraded version of the harriers that spanked them in the last war.
Any Argentine Naval operations would have to somehow get passed the UK submarine fleet.
And this is all under the assumption that the Typhoons stationed at Mount Pleasant somehow fell from the sky instead of flying circles round any Mirage attacks or sinking any Argentine naval ingression.
And as for ground operations? It's not even funny how badly the Argentine troops would fare against the now Afghan and Iraq battle-hardened UK paratroop and royal marine regiments.