Although Maurice is frequently described as a Mercury astronaut and talks about training with the Mercury astronauts, when a video tape of his launch is played, it shows a Gemini launch. Maurice has also stated that he wasn't one of the original seven, which would have precluded him being a Mercury astronaut.
At KBHR, the needles on both of the illuminated VU meters (on the control board) do not move when Chris is talking or at any other time there is modulation. That would never be the case in a real radio station.
In most radio stations, the "On The Air" sign only lights when there is a live mike but, at KBHR, it remains lit whether Chris is using the microphone or not.
In the pilot the town sign of Cicely shows the town's population as 215, corrected upwards from 214 (still visible but crossed out), in episode 1.6 "Sex, Lies, and Ed's Tape" the town's population is 839.
S6,E8 when the new doctor and his wife meet the the a crew member is seen in the car window.