You would think the would last longer than, and it may run longer than that..As for the generator yeah just plug it in to your IC and you are good to go..You should have separate lights that are wired 110 that will only work with your generator plugged in..
I have one of those 2000 watt Honda generator/investor. House came with cable to hook it up. I think all I need to do is plug it in? Probably will not do lots of overnight. But wondered, since furnace has a fan that I think is always on how long that runs off fully charged battery. Have several deep cycles so can always have a spare and keep them charged at home as well.