chunjuwu, if in fact the ind. clause is the one starting with "in 1959 A Raisin in the Sun" with "A Raisin in the Sun" as the subject, then this sentence is also very wrong although there is no subject-verb agreement; you can't have an introductory modifier modifying a preposition phrase (in 1959 A Raisin in the Sun). In any case, B is fraught with many errors under whichever way you look at it.
But how do you know whether when a verb is used in the past tense if its singular or plural.
In past tense, unlike in french, you don't need to determine the number of a verb.
[...]Lorraine Hansberryâ€™s A Raisin in the Sun
won the New York Drama Criticsâ€™ Circle Award in 1959
was later made into both [a flim and a musical].
The above (D) does link two clauses. In these convoluted sentences, you have to ferret out the important parts from the less important ones. As such, "The first commercially successful drama to depict Black family life sympathetically and the first play by a Black woman to be produced on Broadway" is an introductory modifier, a compound appositive phrase to be precise, and have no impact on the main clause and hence, the latter's structure is free of errors.