The heads on rivet sets are polished to begin with. (I'm certain though, that somebody will mention some sort of obscure rivet, for some sort of strange application, that did not require a polished set.) A correctly driven rivet does not need to be "finished". However, an incorrectly driven rivet does need to be replaced. That means drilling it out and replaceing it, not as easy as it sounds.
The shortest drive in the top box, has a smaller shank than the set in the middle. This is for two different rivet gun sizes. The actual head is replaceable for different sizes of rivets for each set. The longest set in the bottom box, is a hand held set, used in the same manner as a punch or chisel.
Actually, its quite an interesting piece.