When looking at the brain image scans for the soldier, they show the parts of the brain lighting up explaining that those parts are the fight or flight brain parts. Later, when Cal shows Emily his own brain, he states that the parts that lit up are love, but they match the soldier's brain activity. The fight or flight area that he associates with his ex-wife is different.
At 16:30, Jake stands holding a remote controller. From in front he holds it in both hands mid-torso, but from behind he holds it only in his left hand with arms hanging at his sides.
In the drawing of the layout of the firefight, on the white-board. There is a building labeled Temple. Iraq is a Muslim country, Muslim's pray in Mosques. The only religion in the middle east that worships in temples is the Jewish faith, and there are no Jews in Iraq.
In a previous episode it might have seemed to be established that Dr. Lightman was a soldier, but when he spoke of being in the Bosnian war zone he also clearly states that he was "with British Intelligence, MI-5" at the time.