When Emma's mother Hillary texts her right before Emma is kidnapped, the current time at the top left of Emma's phone is 2:01 PM, but the time of the text is 2:04 - three minutes later than the actual time. Then, in the very next shot, when Hillary checks her phone for a response from Emma, the current time on the lock screen is 11:38.
When the police arrive at the place where Rick and Emma are just starting to take Rick "to the airport", the cops are investigating a serious crime- they would never tell someone at the scene to "get out of here quick."
When the local police put out the alert about the motel location of the suspect and hostage, the cop shown in the scene takes off with lights and siren. In real life, that would not happen.
When Emma shoplifts the sleeping pills intending to drug Rick's drink and put him under, she's able to reach into the bottle and grab them immediately. Modern-day medications are packaged so tightly and have so many safety seals before you can access the pills, there is no way Emma. could have just opened the pill bottle once and extracted them.
In the movie's end credits, Emma and her mother Hilary's last name is listed as Simpson, but in the movie the two characters last name is mentioned as being Moreno.