UnScramble this Word: e r i e r a f g?

Questions

in the old political hierarchy of egyptian succession, what rank comes after regent?

which famous author also wrote several popular plays in the 1920s, including "mr pim passes by" and "the dover road"?

name of the donkey in winnie the pooh's adventures?

what is the term used to denote outdoor dining?

where was the atomic bomb project conducted during world war two?