Putnam's wife was revengeful because
a. she thought that witchcraft and the supernatural were to blame for the deaths of her unborn children
b. her husband had an affair
c. her husband had been wronged by the church
d. her husband was cheated out of land

It is A and B, but probably mostly A

a. all of the other answers have at least one capitalization error.

the sentence that avoid faulty coordination is:

culture, which is well represented in philadelphia, plays a major role including theatre, music, and the visual arts.  

faulty coordination occurs when the writer gives equal importance two different ideas (clauses) which in fact are not equivalent. in order to correct a misplaced clause or idea, the writer can place less important or emphatic ideas in a relative clause as in the previous sentence.