To summarize, you have a variety of things to check:
Battery - possible, but honestly highly unlikely, especially with a new unit. As poster said, easy to check!
Water heater - depending on your model, if it has an anode, that could be defective and causing the smell. Cheap/easy replacement. Many models don't have this, and it is pretty unlikely in a new model.
Water heater - sulphur bacteria growing in the heater. Hence the instructions for bleaching your water supply. Pretty common problem in some areas of the country. Posts on other forums seem to implicate untreated well water as the cause. High possibility.
Water system - same as water heater. Again, bleaching is the answer.
Drains - less likely, but your old friend bleach will take care of what is in the traps.
Grey tank - same as the drains. Again very less likely, as most odors are prevented from escaping via traps (which is what traps are for). Bleach from doing the drains should fix it.
Finally, just the water itself. Drain system and rinse....
2012 Ford F-150 Eco, Max/Max
Jayco 26.5 RLS, Reese Sidewinder