Unlike Simpson, the music of Melody Hawthorne is deep, full, and complex—given to blues-inspired riffs as well as to soul-shaking sounds.
A. Unlike Simpson, the music of Melody Hawthorne - wrong
The comparison should be between the music of Simpson and the music of Melody Hawthorne. In this option the comparison is between Simpson and music of Melody Hawthorne.
B. Unlike Simpson, Melody Hawthorne’s music -wrong
In this option the comparison is between Simpson and Melody Hawthorne's music. A person can't be compared to the music
C. Unlike Simpson’s, Melody Hawthorne’s music - correct
Correct comparison. Simpson’s music is compared to Melody Hawthorne’s music
D. Differing from Simpson, Melody Hawthorne’s music - wrong
Incorrect comparison. In this option the comparison is between Simpson and Melody Hawthorne's music
E. Differing as Simpson the music of Melody Hawthorne - wrong
Incorrect comparison. Simpson is compared to the music of Melody Hawthorne. Use of 'Differing as' is incorrect.