When Larry is panicking on the plane and is offered a drink he says he doesn't drink. He is regularly seen drinking wine in previous episodes.
The domestic flight Larry takes from Los Angeles to Albuquerque, New Mexico is shown from the exterior to be a British Airways 737.
Larry flies to Arizona in daylight to meet his real parents, talks to them at home, walks round the town with them, goes hunting, fishing and repairs the car. He then sits down to what is clearly their first meal together as he is surprised when they say grace. It seems that everything that's happened has occurred on the same day, which is rather unlikely. However, Larry probably slept in a hotel on the day he arrived before meeting his parents early the next day.
When Larry visits Bisbee, Arizona, the town sign misspells it as "Bisby".