When Eva, W2ASD, is operating her station at home, the radio is set for "C.W." operation, indicating she will be using Morse code. When she is speaking, the correct mode would be "A.M."
When William begins to use his father's radio, he assumes his father's call sign, K2WMO. The Amateur Radio service, in the United States, requires operators to pass an exam prior to being issued a call sign. Licenses are not hereditary.
Music broadcasts are not permitted in Amateur Radio, unless it is a re-transmission from the International Space Station for educational purposes. (Music cannot be broadcast from any station other than the ISS.)
William uses the phrase "QC" around 09:25 when learning to use the radio. The correct phrase is "CQ", which is a holdover from Morse code shorthand for "Who is calling me?" to identify other radio operators.
In the Amateur Radio service, stations are identified by their call sign. "Handles" are used for boxes/crates, and in the Citizen's Band Radio Service.
When Eva gets up from her desk, there are several glimpses that her radio is not plugged in, and thus, cannot be powered on.
Neither Eva's radio, or William's, are shown to be using an antenna.