Welcome to the forum
First off is there a "SAT IN" connection on the outside of the trailer? If there is then the coax from the king dome goes into it. At the TV there should be two coax connections. Use the one that is NOT USED for park cable and roof antenna. out to receiver and from receiver to TV.
If your outside is labeled "Cable/sat" then the outside connection is the same. Inside by the TV may have a second plate with a coax LOOP. Take the loop out, one connection goes into the receiver and then from the receiver to the TV.
Your King dome has a series of dip switches inside and they need to be set to DirecTV, and then the receiver has to be configured for the dish.
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2012 Copper Canyon 273FWRET being towed by a 1994 Ford F350 CC,LB,Dually diesel.
Airlift 5000 bags, Prodigy brake control, 5 gauges on the pillar.Used to tow a '97 Jayco 323RKS.
Now an RVIA registered tech. Retired from Law enforcement in 2008 after 25+ yrs.