Which of Juliet’s lines best shows her respect for her mother?

I’ll look to like, if looking liking move”.

Explanation:

this shows that she wants to please her mother even though she doesn't want to get married to Paris

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.