These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Humour Dissonance: The writer and director discuss this on the DVD Commentary. Having watched the film alongside audiences in Britain, America and Vienna, they were fascinated by the fact that only some nationalities found jokes that had been deliberately inserted into the script as funny, whilst others were laughing at things that were meant to be serious (such as the Americans laughing at the Prime Minister eating fish-fingers or footage of celebrities turning up at Diana's funeral).
Could be a case of Epileptic Trees as according to the DVD Commentary, the writer suggests that he meant for the stag to represent the Queen herself (that the stag made it to fourteen points suggests it was lucky to have survived for such a long time). Most people naturally assume that it's Diana, hunted and then killed.