>>807967>powerAvoid utility-powered products... inverters are very inefficient. Most of what you'll need is available in 12v flavors, including laptop power supplies.
Solar can help offset some of the draw, but it's unlikely you can go completely off-grid. Need a lot of surface area to run appliances and recharge what you use through the night.
I'd get a 20- or 50-amp charger and plug it in periodically. I can recharge my trailer's battery in about 3 hours off my 20A and generator, and that battery will typically go 24+ hours with lights/furnace. (Laptop charges from 120 when I run the gen.)
LED lighting lasts longer and uses less power.
Isolate your vehicle's battery from the trailer. Some tow rigs have a relay on the 12v-aux pin on the RV connector, others (like mine) leave it connected to the trailer. If I don't disconnect the two, I could potentially drain both truck and trailer battery and not be able to start the truck.
Insulate everything if you're using it in the winter.
>sewageWouldn't bother. Make a quick trip to the gym or dorms for shower/shit.