During the trial, while Neil Davis is being questioned, the barrister for the defence objects by saying, "Objection, Your Honour". This does not happen in England and Wales and is copied from American legal dramas. In English courts, the barrister would simply rise and interject by stating the grounds of his/her objection and would most certainly never address the judge as "Your Honour". The correct form for a barrister to address a judge in England and Wales is "My Lord".
After visiting Tara Reeves' home the detective phones Anne Travers and they arrange to meet at a pub called the Duke. In the next scene, Anne Travers walks into the pub where they meet, but the signage in the pub show that it's called The Crown, not The Duke.