Yeah Ken Connor is a good guy and Ghost Force is probably the best book on UK SF: also how their role changed over time and they became bureaucratised even by mid-80s.
Basically Maggie and John Nott slashed the Navy to focus only on British Army on the Rhine and RAF Strike command. Carrington and the rest of the appeasers wanted to get rid of the Falklands (probably corruption too - well known that there were oil reserves down there and UK FCO and its agencies are inept and corrupt as f*ck in equal measure) so while the prevarication continued the First Sea Lord drove directly to Downing Street from the Admiralty (just up the road in those days, moved now for NuLab quarters) and said we can take the islands back - all his command were guys like Lord Lewin who'd served through WW2 etc - and Thatcher agreed. She knew SAS commander de la Billiere and G Squadron head Mike Rose from the Iranian Embassy siege and Mad Mike was up for the fight too.
UK SF had scrambled with what they had, a couple of their guys (possibly Connor) were in Fort Bragg and the US SF top brass (Col. Beckwith who ran the Desert One mission and created what are now US SF was trained in Hereford in the 70s) basically said take what you want so they got a few Stingers. G Squadron were in one of the first ships en route down there and got inserted via Sea King on long range recce to form a recce grid across the islands. Most were dug in for a month and when evacd had malnutrition and hypothermia in some cases. The remainder of the Squadron was used in the raid on Pebble Island, and then the critical action of the war, the long-range assault on Mount Kent with Commandos when an SAS patrol confirmed it was empty of troops, which was then held against substantial counter-attacks so the Commando Artillery could fly in and dig in (this was also a unilateral operation by Mike Rose). Later B Squadron were flown down to Ascendancy Island and prepped for the aborted raid on Rio Gallegos, but some eventually made it there on recce via helo, submarine insertion didn't quite work and they sat literally just offshore.
The Stingers worked in one instance - the cyro was charged - but the next attempt to fire failed as the guy didn't know to recharge it. The one set of manuals was already lost when a Sea King lifting part of G Squadron had a bird strike and went straight into the South Atlantic while "cross-decking" troops. So that was it on the US front, the only other role the US played (beyond pro-Brits like Caspar Weinberger musing about "loaning" a carrier) was allowing the continuance of USAF and USN contractor assistance to the Argentine Skyhawk fleet (from USN-Vietnam era) flying when there was a malfunction with the ejector seat settings which threatened to ground the whole fleet. In parallel, the French kept the Mirage and Super Etendard fleet flying. Everyone moans that they provided sat intel but that wasn't the case either.
The only thing that saved the Task Force was incorrectly fused bombs - they were primed to "unwind" the detonator after free-falling a hundred feet to protect the pilots, but as the Argies came in on the deck the bombs were often un-primed, thus bomb disposal could deal with many lodged in the fleet in San Carlos bay (tho' this didn't work in the case of HMS Ardent). The Admiralty would have taken the losses but at a practical level they would have been run close on sustaining operations. With more info available these days it seems that Rose, Chris Keeble, Julian Thompson and the First Sea Lord were the critical actors in the war, along with all the 17 year olds thrown at the enemy with bayonets on as usual (tho it is 18 year olds these days, how humane), the rest of the head sheds and commanders were useless. The whole operation was otherwise based on 'trusting in luck'and a lot of the flaws in the military (equipment, complacency, faulty operating procedures) brutally exposed.
Interesting to hear about the NZ navy, would certainly have helped ... as for Helen Clark, her reward for destroying the NZ and its airforce among other things has been to get the top job at UNDP.
