On the OP FW, there is not enough room to mount the television on a closet door. The only place to mount is on the wall. We have the 26.5HT RLS and I can tell you there is only one place to mount a television and that's where they show it. Also, that is the only place, at least in the HT version that has a hook-up for the television. Unfortunately, I haven't tried to mount a television, so I can't help you with your problem. I would suggest, if you can, that you get consider an LCD with LED lighting, it's amazing how much lighter they are than a regular LCD set.
2012 GMC 2500HD D/A Crewcab
2012 Jayco Eagle SuperLite HT 26.5 RLS
2009 Crestliner Superhawk 1900
2013 Polaris Sportsman 550 EXP
2008 Polaris Sportsman 700 X2