One battery not enough
I'm assuming that you have 1 12-volt group 24 lead acid battery that has a capacity of about 90 amp hours. Only 45 of those are useable, as it is a bad idea to go below 50% charge. Each of your incandescent bulbs uses about 1.5 amps per hour. If you are running 3 fixtures with 2 bulbs in each, that's 9 amps per hour. In only 5 hours, your battery would be effectively depleted. Add in your furnace, which draws 6 amps per hour when it's running, and your single battery looks even more inadequate. I say go for the second battery. It's surprising your unit did not come set up for a second battery.
I replaced 4 of my incandescents with LEDs. All of them running at once use less than 1 amp per hour. When I boondock, I use only these. That way, my 2 group 24 batteries will go for nearly a week without a charge, including using the furnace. (Don't waste your money buying cheap LEDs. The newer and more expensive ones put out plenty of light.)
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2010 Keystone Cougar 27 RLS,
2007Toyota Tundra, 5.7 liter, 4 by 4
Tekonsha Prodigy Brake Controller[SIGPIC]
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