To answer your question The inverter has nothing to do with the boost function of the combiner. However you will not want to start your coach with your new lithium batteries. Hold the boost button for 5 minutes then release and then start.
Somewhere in a cupboard is a momentary reset switch for the Aladdin. If it's on all Aladdin monitors as stated above there is nothing wrong with that Voyager monitor.
A medium size uhaul or box store moving box with the top open will let it hit the ground without exploding when dropped over the front. Or you can carry down the ladder.