Whenever the Doctor regenerated, he was initially very confused and needed a warm-up period of several days to get back to his normal self. But when the General regenerates in this episode, she is immediately fully conscious, laser focused and effective.
"When in Nevada USA, whilst inside the diner, located above the entry and exit door, the emergency exit sign is incorrectly colored green, for USA locations the correct emergency exit sign color is always red."
While many locations in the USA have red exit signs, the national Life Safety Code, NFPA 101 [2015], Section A.7.10.1.8, acknowledges that "The present text avoids any specific requirement for color". Also, vendor www.simplyexitsigns.com reports that, in Nevada, "both colors are allowed via State code."
In "The Woman Who Lived" they establish that Me, while immortal, only has a normal human memory and forgets things from more than a few decades ago. While here, billions of years in the future, she clearly remembers the Doctor and Clara. This is because she has gone back and continued to read her diaries. She even stated at one point that is how she remembers Clara.
When the Doctor pulls up to the diner in the red truck, he exits the vehicle from the right side. In the US, the driver sits on the left. However, we don't actually see the Doctor drive, nor how many people are in the truck; he likely hitched a ride, rather than going thru the trouble of procuring a vehicle.
In the Cloister, in the wide shot just before the new TARDIS appears, a boom mic and boom is visible above Clara's head.