I think there were serious omissions from the historical truth.
As noted by a reviewer above, Thatcher's political position was very weak at the time. She was seen by the country and many of her "wet" cabinet ministers as being a right wing liability who would sink the Tories at the next election because she had worsened, not improved, Britain's economy. Unemployment had sky-rocketed.
The decision to withdraw HMS Endeavour from the South Atlantic (the supply ship for the Falklands) was made by her right wing Defence Minister John Nott on grounds of cost- cutting. Both the Foreign Office under Carrington and I believe the Chiefs of Staff and the Intelligence Services opposed it on the grounds that the Argentinians would interpret the withdrawal as a sign that the UK was not serious about maintaining its Falklands colony and this would greatly encourage them to invade. Thatcher overruled them and backed Nott. She therefore had direct responsibility for this mistaken decision and should, on the Argentinian invasion, have resigned.
This was known at the time of the Saturday House of Commons debate by many people, especially on the Conservative back benches. There was great unease on them, and talk of replacing her. What saved her probably was Michael Foot's highly patriotic support of her in his speech and the fact that the debate only lasted 4 hours rather than the more usual 8. (Clever work probably by the Whips). If it had been 8, it is very likely that this unease about Thatcher would have surfaced from both wets and right wingers who suspected she was an incompetent woman who had blundered into a war.
Then, had she been replaced - probably by a wet ("wets" by and large were of an older generation than the supporters of Thatcher and had fought in the 2nd War and would have been thought "reliable" to fight another war) - the war would have gone ahead, Britain would again probably have won, and a "wet" rather than Thatcher would have been in charge of Britain and subsequent history would have been radically different. But it is through ironies like this that history operates. As it was, it was those who had been originally been right on "Endeavour" who were forced to resign like Carrington, and Thatcher, the British politician (along with Nott) most responsible for allowing the war to break out, the person who went on to be lionised as a great Churchillian war leader.
The Saturday Commons debate was the great turning point. Curteis presents the debate falsely as a straight patriotic piece of Churchillian stiff upper-lip tub thumping. (This is understandable, the Left had been and was caricaturing Thatcher mercilessly in their propaganda and Curteis's play is his right-wing propaganda blast back). But it would have been far more interesting - and dramatic - to go for neither villains or heroes, but what history really consists of - human beings. And by showing complexities and ironies, rather than pieties and propaganda.
