Stupidity: After the team break Solomon Lane out of custody, they drive around Paris with him in the front seat of their car. Lane is still wearing a straightjacket, bound in chains and has a black bag over his head. The IMF team drive him through crowded streets, past multiple police cars in full view of everyone just minutes after an armoured convoy transporting a dangerous prisoner (who everyone is now looking for) has been attacked. None of the Parisian police seem to notice this and none of the IMF team questions the tactical soundness of this approach.
Suggested correction: What's stupid about this approach? The IMF team is trusting that with their skills and experience they can easily evade any police that spot them. Which of course they do. Placing Lane in the trunk would have kept him out of sight but that doesn't really matter because they weren't planning on sneaking him out, they were planning on a quick escape.
Factual error: The number plate on the white van that Ethan, Luther, Benji and Elsa are travelling in has 8 digits instead of the 7 of a normal UK number plate.
Suggested correction: The number plate is the Norwegian format. Likely acquired whilst in mainland Europe.
The text on the side of the van says "London and the Home Counties" so driving on Norwegian plates would be incongruous and draw attention. Surely something you would not want in a covert van. If you're picking apart the van, why no phone number or website for the fake company. Again, it just looks wrong.
That doesn't change the fact that it has a valid number plate. Within the EU vehicles can be used in any country, provided they meet the local legal requirements. In the case of the UK, that is being up to date with any servicing and the vehicle being insured. It is not a movie mistake that the van exists or that it could be in London. They used a van they had access to.