[JRTJH]

The way a Dometic A/C is "supposed to work" (not the way it "might work) is to start the compressor, then momentarily later, start the fan. The reason for operating that way is to start the heaviest draw with the most available current, then start the lighter draw with the available power remaining after the heavy draw motor is operating. That sequence provides the maximum amperage to start the compressor, then when it's running, uses the remaining amperage (of the 20 amps that can pass through the circuit breaker) to start the fan motor.

When the thermostat setting is reached, the shutdown process is to shut down the compressor, fan remains running for about 30-60 seconds to push all the cold air out of the coils, eliminating the problem of increased condensation from humidity remaining in the air box. That humidity would condense on the coils and either drip into the airbox or sit on the coils and eventually start to mold.