When Barbie is punching James as he is on the floor during their fight, he is using his left hand. Later at the hotel with Julia, she notices bruising on his knuckles and mentions it, but the marks are on his right hand.
Colin Fords character "Joe Mcalister" uses an iPhone in the first 2 episodes to record events, in this episode he plays back the video he took and he now has a Windows Phone, in subsequent episodes he still has the new phone. However Norrie still used an iPhone in episode 4 when filming them.
When Julia follows Junior into the abandoned cement works, the ground is wet and it appears to be raining from a solidly grey sky. Meanwhile it's bright sunshine over in the forest.
Angie McAlister finds a radio and tunes in the local FM radio station. The problem is that she's deep underground in a fallout shelter, a place where radio waves cannot reach.
Chester's Mill city Councilman James 'Big Jim' Rennie appoints Deputy Linda Esquivel to the office of Sheriff, which is a county office, not a city one. The city official has no standing in county governance.
When they find Paul in the woods for the Manhunt. Paul's Assault Rifle has a silencer on it. But when he fires it is not silenced.
The entire city is afraid because former deputy Paul Randolph has escaped from custody with a single rifle stolen from the police station. Previously Randolph was seen handing out automatic weapons like they were candy bars, yet no mention is made of this far more deadly arsenal.
(at around 17 mins) Microphone visible in the left bottom corner when Barbie steps in to the woods with a rifle.