When the Doctor gives Ace her baseball bat as a present, script pages are visible sticking out of the left pocket on his jacket. According to Sylvester McCoy on the audio commentary, he always carried 'Scenes to do' in the left hand pocket and 'Scenes done' pages in the right.
As Mike struggles with Headmaster Parsons in the churchyard we see a very modern set of flats behind them, totally out of place for 1963.