I run the cable in thru the electric cord 'door'.
has the most inconvenient outside location for a cable connection. It's second only to the fresh water drain valve for 'cheap, dumb and useless'. And they make holes in the trailer, Ugh!!! :o
For antenna, use the rabbit ears on the TV. Since egg trailers are fiberglass, indoor antennas have pretty good reception. An amplified antenna will work better for bringing in distant stations.
Where to set it, see what the Scamp folks have to say. :)
We store the 9" tv in the front closet and it's packed in so it won't bounce or tip over. Things ride better in the front of the trailer rather than the back. Less bouncing.