The Falkland Islands...?

If the Argentines attacked again, would Britain threaten a nuclear strike on Buenos Aires? It has a two NUCLEAR submarines in the area, and has a very large military presence on the island around it. The Sun Newspaper also speculated that an attack submarine HMS Sceptre was sent there in march last year, is Britain prepering for another conflict with the Argies? Britain also has seven jets stationed on the island and 1000 soliders.