In the ambush scene at the port, Mr. Reese is sitting in a car about 300 yards away from the ambush but once the ambush starts, he pretty much appears where the ambush is as if he teleported there.
When Maxine Angelis calls the disposable phone, it claims the voice mail has not been setup yet. Somehow she is still able to leave a message.
The dating profile Finch set up for Reese so he could get close to Maxine says his astrological sign is Aries, however in Many Happy Returns (2012), we learn that his birthday is either April 24 or May 1 (conflicting sources within the same episode). Either way, this would make Reese a Taurus. However, since it's a fake dating profile for a man who's trying to conceal his true identity, a fake astrological sign makes sense.