Add a noun derivational suffix to the words ~establish ~trumpet ~father ~court ~kitchen

A derivational suffix is the one that is used to create a new word from one that already exists and that works as a root. When creating a derivational suffix, a new part is added after the original word, and it usually changes the grammatical class of the word. Examples of a noun derivational suffix for the words in the list are: establish/establishment, trumpet/trumpeter, father/fatherhood, court/courtesy, kitchen/kitchenette.

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.