There are several scenarios here, four of which are:
i) Nothing meaningful happens
ii) The Argentine generally obstruct ships within the Argentine 12 mile limit that may be sailing towards the Islands of Several Names. As GB resource is generally stretched at the moment, this should be dealt with diplomatically and the ships concerned should avoid the Argentine 12 mile limit until the 4th Afghan conflict is resolved.
iii) Various South American countries generally obstruct ships within the respective country's 12 mile limits that may be sailing towards the Islands of Several Names. As GB resource is generally stretched at the moment, this should be dealt with diplomatically and the ships concerned should avoid the various 12 mile limits until the 4th Afghan conflict is resolved.
iv) The Argentinians launch a military offensive against the Islands of Several Names. This should be dealt with by Tomahawk attack on various Argentine targets of interest, primarily airfields and naval installations; additionally all Argentine military vessels at sea to be sunk by various Fish and supporting airborne weaponry. And then this scenario can be dealt with diplomatically.
Of course, the over-riding principle is that Argentina and Great Britain should be natural allies with a common objective: defeating SANZAR ..