Corrected entry: Aaron Cross never reveals to Dr. Marta that his name is Aaron. He tells her to call him James. At the airport, however, when he calls her from the terminal, she calls him Aaron.
Corrected entry: In the cabin Jeremy Renner looks up and sees the name Jason Bourne carved into the wood. Jason Bourne was one of the many aliases of David Webb - he wasn't given the name Jason Bourne until he completed his training.
Correction: Aaron (Renner) is in this cabin during a disciplinary exercise, not a training exercise; his "training period" has been long since completed. It's possible, even likely, that David returned to this cabin for same or similar reasons after having already been assigned the alias of Jason Bourne.
Corrected entry: When Aaron Cross goes into the basement of the doctor's house (to save her from the team there to kill her) he turns on the table saw, yet when they leave the house it is not running anymore.
Correction: The table saw is turned off by the other agent who goes down in to the cellar to discover his dead colleague.
Corrected entry: When the agents come to Marta's house and try to fake her suicide with her handgun, Aaron arrives in time to knock the gun away from her head. The gun discharges twice before it knocked from the assailant's hand. Marta picks up the gun and repeatedly fires the weapon as she runs to the staircase. She fires off five shots for a total of seven shots fired from her gun. Her gun is a revolver and only holds five or six rounds depending on the calibre.
Correction: There are 7 & 8 shot revolvers like the Smith & Wesson model 627.
Correction: Aaron doesn't reveal his real name to Marta on screen, although he does specifically tell her his name isn't James when they were discussing their fake identities. It's reasonable to assume he told her his real name sometime after that discussion during the trip to the airport.
Blathrop