Quoted from Kcpinballfan:
There is only one axe and whatever the other one is on the left slingshot.
I agree, technically its Thorin's axe in the movie.
Sadly, made small and less detailed than the on screen version, and without a dwarf chopping something with it, anyone walking up to that without previous knowledge, will have absolutely no idea what that "axe" on the left side is.
I consider myself somewhat a fan of the movies (partially why I am dishing out 8k on this machine) and I didn't even know what it was without being told what it was.