When listing the activity suggestions on the board, "Strippers" changes to "Mr World" and back between shots.
When Kate and Richard leave the base in Jamie's car they come to a junction where there is a signpost for London. The local road number starts with the digit 9. The film is set on a fictional military base in England and road numbers begin with the digits 1 to 6 in England and Wales.
In the early scene with the Brigadier, the Captain salutes as the Brig is leaving and he doesn't have a headdress - that's a no-no - should have just come to attention/braced.
Towards the end of the film, the Captain salutes the Col with the wrong hand.