The correct option is B amusing yet despairing
Amusing and despairing fully describes the two sisters. They were the life of the party and the talk of the town, and yet, in their own private sphere, they were consumed by their unhappiness and despair. Option E is the correct answer. This is the pair that is most appropriate for the two sisters. The others options are not completely able to characterize them. Therefore, options A,B,C and D are all incorrect.