As I see it UK, namely Maggie, has made this mistake before that resulted in the taking of The Falkland's.
A few years previously to 1982, circa 1977, the Argies had considered invading FI, the Brits (Labour) got wind of it and despatched military atleast as far as Ascension Island, the Argies backed off, years later Maggie gets to power, helped, by promising the Armed Forces significant salary increases and PDQ announces the withdrawal from service of HMS Hermes and Endurance etc. etc. etc. and the rest is history.
Now, just recently, oil & gas has been confirmed off FI, the Argies are up in arms about it, the previous battle for the islands included, but not limited to, a significant Naval force, Marines, Army, FAA and RAF Harriers, In-Flight Refuellers, Vulcan Bombers, Nimrods, Transport Aircraft, Chinooks etc. etc. etc.
So, with the exploration of oil & gas in the region, what position might the UK military be in again to react to an invasion of The Falkland Islands?