Continuity mistake: In the scene in the garden where Oliver and his sister stand by the headstones, Robert Queen's birth date is carved into the stone as 1958. This conflicts with the news report at the beginning of episode 1 when his birth date is shown as 1948.
Other mistake: When Oliver returns from the docks, he puts his bow in the case and his hood down. This is footage which is run backwards from the scene where he suits up earlier on. The best point to see this is when he ultimately blinks: it's very unnatural.