I think it was/was not the United States' Manifest Destiny to control all the land from 'Sea to Shining Sea' because

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.  

the answer is c bro ok

"rodney quicklt turned away and darted into a crowed of student" i thinks thats it but idk

your answer would be: c