I'm going to assume that your home TV is not on an antenna. If that's true, I would suggest hooking up a cheap set of rabbit ears to your home TV, change it's input from cable to antenna, and then see what channels you can receive on your TV set at home. If you get nothing, then you have the answer as to why you're not receiving anything on the trailer's. However, if you do receive some channels on your home TV, then you should be able to receive the same channels on the trailer's TV. You might even receive more channels if the signal amplifier is turned on as your home TV won't have this advantage.
Keep in mind that digital signals are more directional than the old, analog signals were, so you may have to try turning the Bat Wing to if there's a channel on your home TV that you can't receive in the trailer. Many digital TVs have a signal strength meter that you can select from the TV's menu. This feature is helpful when turning the Bat Wing (and rabbit ears too!) for the best signal strength.
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TV: 2009 GMC Sierra 2500HD | Crew Cab | Std. Box | 4WD | Duramax/Allison
RV: 2000 Jayco Eagle 266 | FBS | TT -- 1986 Coleman Laramie pop-up -- Still in the family!!!