Well, just as a guess, your battery went dead. That is why the furnace would not run. Then a dead battery will freeze and bust the case, and that is why the acid is on the ground. Make a solution of water and baking soda, and clean everything that the battery acid came in contact with. After you are done, rinse well, then do it again. Dissolve as much baking soda in hot water as you can.
If you were plugged in you may have converter problems not charging the battery. Otherwise your battery may have just died.
2012 Ford F250 ext. Cab 4x4
2002 Jeep Wrangler Sahara
2008 Yamaha V-Star 650 Classic
2008 Work and Play 18LT