I'm sorry to hear of your problems, and I hope they get fixed for you. We also have a Travel Lite TC.
I apologize in advance if this is insulting - it's not meant to be: Are you sure you've ruled out the easy stuff (like making sure the TV is plugged IN before calling the repairman)?
I struggled with our water system until I took the access panel off in the bathroom so I could see how everything was routed. It was NOT intuitive from the little part you could see without removing the panel. None of the lines anywhere are labeled on ours, so I had to trace them out and scratch my head a few times. Even the water tank drain required experimentation to figure out which way was closed after winterizing it (my bad memory it to blame for that, but still...)
Electrical issues: there are things that don't make sense to me, but I've been too lazy to sort them out. Instead, I've been just doing work-arounds. Our fridge won't start on AC power. I have to start on gas/ battery and let it cool down a bit before switching to AC, after which it will run indefinitely.
Our air conditioner is erratic, too: it refuses to shut off sometimes. It will say "off" on the display and then randomly kick on 10 minutes later. Again, there's probably some simple answer I haven't bothered to investigate - I just shut off the breaker to the AC if it frustrates me.
The battery won't charge if the shut-off is engaged. That might be standard, but the first time trying to conserve power and speed charging, I shut the battery off and plugged the TC into AC power overnight thinking I was charging the battery... I wasn't.
My wife called out the window once that something was 'running' in the TC. I went out to find the sink cover, when closed, can push the spigot enough to turn it on a trickle. Over 15 minutes or so, this caused the water tank to be drained via the pump pumping it thru the closed sink, overflowing our grey tank on the bathroom floor.
Point: there's a lot to learn, Travel Lite doesn't make it easy (by labeling stuff), and there may be some little idiosyncrasies which are counter-intuitive.
I agree TL / the dealer should respond and correct any issues.
Maybe you could provide some specifics of what you're finding wrong and people here could help with simple diagnosis.
Just a thought - again, apologies if this seems I'm talking "down" to you - not my intent at all.
2013 Travel Lite 960RX
2001 Ford F350 Diesel Super Cab Long Bed