The best answer to this question would be, "Whom would you like to invite to the party?". Whom is an objective pronoun.
Answer:
#9 - aplomb
#10 - Memorable (maybe eloquent, but the the use of 'simple' in the description basically contradicts the idea of its eloquence)
#11 - nadir
#12 - gyrate
Explanation:
definitions:
Aplomb: self-confidence or assurance, poise. memorable is self-explanatory. nadir: the lowest point; point of greatest adversity or despair.
gyrate: To move in a spiral or spirallike course.