When you use a pronoun like "he" or "she," the word should have an antecedent. what does that mean?
the identity of the person should be clear before you use "he" or "she."
you need to identify the person later on.
you need to know whether the words refer to boys or girls.

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.