This paragraph is awkwardly written...especially the second sentence.
First, the writer refers to "goal" in the singular and then refers to a) "becoming an innovative and responsible arts administrator" and b) "contributing..." etc. It would be more correct to say "goals".
Also it would be better to simply start a new sentence for the "contributing" part of the paragraph as in "I look forward to the opportunity to contribute to..."
Also, in your question, you should pluralize the word "sentence" to "sentences" as in "Does this paragraph have any run-on sentences?" and "I usually find long sentences difficult to understand."
Best of luck with ABCD.
Student or Learner