Updating of the character's names of a play by Shakespeare to modern times could be found in

A. an adaptation

B. an imitation

C. a mockery

D. a tribute

A. An adaptation

An adaptation takes a work (a play, a book, a poem) and 'adapts' (changes, updates) it for modern times or to serve a specific purpose. For example, "Ten Things I Hate About You" is an adaptation of Shakespeare's "Taming of the Shrew". The characters Katharina and Bianca aren't changed that much (they become Kat and Bianca), but Petruchio's name is changed to Patrick, because that is a more modern name and makes more sense to a modern audience.