Ramballe and Morel are the French officers Pierre encounters in Moscow while he attempting to stay there 'incognito'. (See p. 968.)
Kutuzov is wearing a bicorne hat; they were very fashionable around the turn of the nineteenth century, and are now closely associated with the Napoleonic wars. The bicorne is descended from the tricorne, three-peaked hat, which was popular earlier in the eighteenth century.
The hat could be worn with its peaks to the sides ('athwart') or front-and-back ('fore-and-aft') depending on the mood of the wearer and the fashion of the time. The athwart position was fashionable in the 1790s whereas the fore-and-aft became popular in the 1800s; Tolstoy may be emphasising Kutuzov's age through his old-fashioned bicorne styling.
Kutuzov fell ill in early 1813, shortly after the liberation of Russia. During his illness Tsar Alexander I asked his forgiveness for having ignored him in the past. He died on 28th April 1813 in the Polish town of Bunzlau (modern Bolesławiec). His body was taken back to Russia, and is buried in front of the Kazan Cathedral in St Petersburg.
This is all that remains of Emilio Poncini, an Italian character who appears in earlier drafts of War and Peace, who befriends and travels with Pierre. The French Captain Ramballe inherited certain aspects of this character. It is possible to buy the early draft of War and Peace, which has also been separately translated into English.