ANSWER:
character vs. self conflict
I believe you mixed the question with these answers, because the word broached doesn't refer to any of these answers - first of all, it is a verb, and all of the options are nouns.
The meaning of this verb is <span>made a way into.</span>
1.Richard arrived TO the concert too late to buy a ticket.
1.Richard arrived at the concert too late to buy a ticket.
3.The feature picture was followed WITH several short subjects.
3.The feature picture was followed by several short subjects.
5.We should OF planned our evening more carefully.
5.We should have planned our evening more carefully.
6.You'll feel happier when you are BETWEEN your own people again.
6.You'll feel happier when you are among your own people again.
8.BESIDE being tired, Ben was also fighting the symptoms of a cold.
8.Besides being tired, Ben was also fighting the symptoms of a cold.
10.Teresa said she would do the dishes now rather THEN after dinner.
10.Teresa said she would do the dishes now rather than after dinner.
11.Neither Ellen nor Joan wanted to leave
12.Joan wouldn't leave unless Ellen left
13.They'll leave together, providing that the cab arrives