The furnace is probably the highest amp user of all the 12v stuff in an rv. And, of course, the warmer you want it to be, the more it will be on. Another battery will help, you would probably have made it to Fri afternoon or evening!! The battery that the dealer put in is usually a lower priced, lower capacity than you really need. 2 6v's are a great combo, and 2 quality 12v's will do almost as much, and maybe more than 2 cheap 6v's.
We have two, 4 yr old Costco 6 volts in our trailer, they usually will go 3 to 4 days in the weather you experienced this last weekend. We have a small generator that only goes with us in the spring and fall, or on week long trips to the mountains. It is used for charging the batts up and an occasional microwave popcorn snack!! We have gone 7 to 8 days without a charge in the summer and warmer weather.
As to led bulbs, they are a great idea, but another expense, in my opinion. I have changed out all the interior bulbs to lower candlepower ones. Only one in the bathroom is an original since the wife likes it brighter in there. We also have a fluorescent fixture over the sink. And in the evenings (if stuck inside!), we use a couple of led bulb-ed lanterns. As to heater at night, usually set only at 55 degs and lots of warm blankets and 2 boxers!!