Misc: name the main character in "memoirs of a geisha". (her geisha name)?

Questions

The first four notes of the first main theme of Chopin's Grande Valse Brilliante in Eb major are: ?

The first four notes of the first main melody in Chopin's "Minute Waltz" in Db are: ?

The first three notes of the main theme of the second movement in Beethoven's Pathetique Sonata are: ?

Which composer had the "house-gig" for 25 years as Kapellmeister at the Court of Prince Esterhazy ?

The National Anthem of Austria has been referred to as musically the finest National Anthem ever written. Who composed this work ?