When the clinic's generator goes down, the man with radiation poisoning is clearly intubated and on a ventilator. However, Gail performs mouth-to-mouth on him in the next scene, without extubating him.
Emily's earrings change from a pair of turquoise-colored ones to a pair of white dream-catcher pair even though only hours have passed and she's presumably been in the storm cellar waiting for the radioactive rain to subside.
When the generator goes out Gail has to perform mouth-to-mouth because there's only one "hand pump" and the baby needs it. However even if the baby didn't need it the "hand pump" (which is actually called a bag valve mask) wouldn't be usable to Victor Miller because he is an adult and bag valve masks come in different sizes for different age ranges. Also the likelihood of a medical facility that has ventilators but doesn't have the proper bag valve masks is next to zero.
A generator the size that a hospital would use would need diesel fuel, not gasoline.
Even though they refer to getting "gas" for the hospital generator, at the gas station the cover of the tank that is yellow, which stands for diesel.
When Bill and Jimmy are talking to Mayor Green about the radiation poisoned patient at the clinic, Bill's mouth does not fit the words 'Anybody who hates us. They could be coming here - '
When Victor tells of the twenty from Denver, the doctor places the oxygen mask over his face upside down.