I mentioned Jeremy Moore's IWM aural history which is good.
An even more insightful one is Julian Thompon's.
If you look for it, he has two, chose the longer one (64 reels) which goes into the land campaign in great details, frustration with his commander, London, inter service rivalry etc.
The Falklands starts around reel 40 and goes on for over 20 reels of approximately 30 minutes each.
I don't think I can post a direct link but in a search put in Julian Thompson IWM 80030363.