Burns:
Unfortunately, if the pipe is truly faulty -- and burn-throughs can happen because of a hidden flaw in the wood, as well as gross mistreatment (deeply gouging the bowl when cleaning/reaming) -- the only way to stop it from burning through is to stop smoking it.
However, a professional repair person can fix a burn-out by replacing the faulty area of wood with a briar plug. (I would think he could also do this prior to a pipe's actually burning out.) This is not an unusual repair, but you'll want to have a pro handle it. Depending on what you spent on eBay, you may find that the repair will be more costly than the pipe, though.
I feel your pain. I had a burn-out on the very first bowl I smoked in a gorgeous and incredibly light Charatan freehand with perfectly straight grain. $250. . . in 1984. But thankfully the shop refunded my money without any questions, since manufacturers guard retailers against things like this.
Bob