Entertaining
At your aunt's retirement party, you would want to give a fun, entertaining speech incorportating a story about your aunt.
At a retirement party, you don't need to persuade anyone to do anything, since you knew about the retirement party, you would have planned a speech (so it would not be extemporanous and done spontasiously) and there's no need to inform anyone of anything at a retirement party.
CLOSELY and HEALTHY are your two adverbs because they end in -ly
As for this problem, the answer would be most probably and most likely to be A. adjective.
The sentence that says "the boy with the yellow hair ran home" is a simple sentence. Adjectives describe nouns and pronouns while adverbs describe the verbs, other adjectives, and other adverbs. As you can notice, the yellow would be describing the hair of the boy and the phrase "with the yellow hair" pertains to the boy. So the most probable answer to this question would be A. adjective.