(at around 1h 23 mins) When Carol receives a call in Ben's Jaguar after escaping the pharmacy, we see the cellphone in the foot well; it's Carol's Nokia 'candy bar' shaped phone. However, she says "that's Ben's phone". Next, we see her talking into Ben's flip phone. For the rest of the scene, she's using her own Nokia phone.
(at around 1h 24 mins) When Carol and Oliver crashes in Ben's Jaguar and Carol faints, the car must be in drive, but when Carol gains consciousness she shifts from park to drive and drives off.
(at around 1h 28 mins) Carol pushes the button in the elevator for floor 29, but she gets out of the elevator on floor 35.
(at around 47 mins) When Carol bails off the stopped subway train, the exterior shots are of a subway car on the Baltimore Metro, not the DC Metro as it was in the minutes before.
(at around 36 mins) When Carol arrives at the office in the morning, she sits down by her computer to do some research on the virus. Her secretary comes in and offers her a cup of tea, but as Carol picks it up to take a sip, the cup has changed into a mug.
(at around 57 mins) When Carol is in her office and is discovering that certain diseases make people immune to the virus, she states that the white matter in the brain being changed is what provides immunity. When she phones the Biologist and tells him her theory, he agrees with it. However, when repeating her idea back to her, he says that changes in neurons are what provides immunity. White matter is not composed of neurons, however, and these words are not synonymous.
(at around 57 mins) After Dr. Galeano drew his own blood, he left the tourniquet on his arm. With no bandage on his arm and from the pressure of the tourniquet, he should have been bleeding profusely.
(at around 1 min) When the space shuttle Patriot is making its fatal plunge into the atmosphere, the three main engines are ignited. These are fueled by the large External Tank during liftoff, and are inoperative once the ET drops away 9 minutes after launch.
(at around 1h 16 mins) When Carol is in the pharmacy, she easily grabs a gun from an infected policeman's service holster. However US policemen carry guns in locking holsters that prevent removal unless done in a very specific way. Her first attempt to grab the gun would have been unsuccessful.
At 00:01:04 in the pharmacy the labels of a few bottles misspell Modafinil as Modifinil.
(at around 1h 12 mins) After Carol and Oliver enter the pharmacy, Carol lifts Oliver onto the counter and he barely slips through a gap in the security gate. Carol is then shown attempting to do the same. The movie then cuts to behind the counter and she jumps down. Although it appears that she would not fit (and hence this being regarded as a goof), actually the security roll is deformable. This is clearly visible when she pulls on it to get up on the counter (particularly on her left hand side) revealing that a gap through which she can easily fit can be created.
(at around 1 min) In the introduction, when Carol is rifling pharmacy shelves looking for medicines to keep her awake, she says "Clonazepam, good." Clonazepam (better known in the US by its trade name, Klonopin) is an anti-anxiety drug with a sedative effect, not a drug one would take to stay awake. However, her child was also on anti-anxiety drugs, and there was a 50/50 chance that it would render her immune.
(at around 1h 23 mins) When Carol gets in the Jaguar, we see the tachometer red-line before we see her first step on the accelerator. When you first switch on any car with modern computerized (as opposed to merely electronic) instrumentation, during its self-check the gages all swing full-scale and back to zero before beginning to register.
(at around 1h 28 mins) When Carol and Oliver enter the elevator, she hits the button for the 29th floor. This causes the button 29 to light up. Yet a wide shot of the elevator interior a few seconds later reveals that neither 29 nor any other floor buttons are lit.
When Carol and Oliver escape from the pharmacy after she has just shot Ben and a group of people taken over by the alien pathogen, she throws the gun away as she runs out of the door. There is no logical reason to do this if she's trying to keep herself and Oliver safe considering how many people have been converted by this point.
(at around 3 mins) The Nasa technicians use the Nasa red "worm" logo. This is no longer used by the agency, and has been replaced at Nasa by the original "meatball" logo.
After the Jaguar gets hit and the alien virus infested zombies spread onto it, when Carol drives off the tires squeal, yet a few frames back you see it's an automatic, and it's not possible for a automatic to screech it's wheels.
(at around 1h 27 mins) When Carol and Oliver are in Baltimore trying to evade the aliens, a Wilshire Blvd (Los Angeles, CA) sign is clearly visible at the top of the frame.
A sign on a Maryland parking lot fence cites Californian penal code regulation for trespassing (41.24 PC 602 L).
(at around 1h) When Carol gets on the Amtrak train in DC to go to Baltimore, as she gets onto the train, behind her is a sign that says "This station: South Station/Next station: Back Bay/Destination: Washington, DC." The Amtrak Acela Express goes from Boston to DC (via Back Bay).
(at around 1h 9 mins) When Tucker and his group of friends chase Carol and Oliver down the alley, they clearly show frustration (a form of anger, which is an emotion) once they cannot find the two. Yet, Tucker and his friends have already been infected with the alien virus, to show no emotion.
(at around 1h 13 mins) When Dr. Bennell, a psychiatrist (who of course are also physicians), is rifling through the pharmacy looking for drugs that will prevent sleep, she never even thinks about Provigil, the standard anti-narcolepsy drug also used by the US Air Force to allow pilots to stay awake and alert for extreme periods of time. This medication almost certainly would have been any doctor's first choice.
(at around 1 min) When Carol is reviewing Wendy Lenk's medications, she incorrectly pronounces clonazepam (clo-naz'-uh-pam) as "clozepan" (clohz'-uh-pan). Any psychiatrist (or medical student) would know how to properly pronounce this commonly used drug's name.
(at around 26 mins) The Russian Ambassador refers to Czechoslovakia as if it still existed whereas the country ceased to exist from 1 January 1993 when it split into the Czech Republic and Slovakia.