Jazz was neither popular nor was often played in auditoriums until it was revived by Benny Golson in the mid-twentieth century, having been won over by the music's sound despite its relative obscurity.A. Jazz was neither popular nor was often played in auditoriums
until it was revived by Benny Golson in the mid-twentieth century,
having been won over by the music's sound despite
its relative obscurity. -- No need of a passive voice here. Also
having been makes the sentence awkward.
Its can refer to sound or music, not sure.
ELIMINATEDB. Jazz was neither popular nor played
often in auditoriums until it was revived by Benny Golson in the mid-twentieth century, having been won over by the music's sound despite its relative obscurity. -- Often in front of auditorium changes the meaning of the sentence.
ELIMINATEDC. Jazz was not popular and was not often played in auditoriums until Benny Golson revived it in the mid-twentieth century, after he was won over by the sound despite music's relative obscurity. -- Despite music's relative obscurity, shows the ability of Benny and no confusing words are used in this sentence.
CORRECTD. Jazz
was did not have popularity nor was it performed in auditoriums until its revival by Benny Golson, who in the mid-twentieth century was won over by the music's sound despite its relative obscurity. -- "was did not" this is completely a mess.
ELIMINATEDE. Jazz was neither popular nor was often played in auditoriums until Benny Golson revived it in the mid-twentieth century, when he was won over by the
sound of the relatively obscure music. -- this says obscure music is a type, there are other types of music of which obscure music is one. Also "when" makes the two actions parallel here. Benny revived Jazz when he was won over by the sound of the relatively obscure music.
ELIMINATED