The Base Burner has enough capacity to easily heat that entire area with a minimum of coal consumption.
As far as the list of things to get, We'll see when you get the stove and inventory what you need to do. Including the surprises like the broken teeth in the fire pot.
The first thing you need to to do when you get the stove is to recreate those broken teeth with some bondo and send that fire pot out to be recast. The original designers made the fire pots to be a wear item to be replaced when it wore out. Tomahawk Foundry is the stove Foundry of choice it seems. They do high quality work, specialize in old stoves like ours, and you get the work done quickly. The broken teeth in the fire pot is not acceptable in a stove you wish to perform at its best.
You want that stove at its best, because its best will blow your mind with its efficiency and low cost fuel use. We will be here to assist with the entire project to insure that you will be a happy camper. My favorite thing is when someone gets a Base Heater or Base Burner and they find out how good these stoves are. If you are in the, "Modern Is Better Club" that stove will cause you to give up your membership in it. But remember, you will have to have the patience to undo a Century of neglect to bring the stove up to its original standard.