Shmini - Moshe's Admission

Why do the sons of Aharon, Elazar and Itamar, merit to be part of a special prophecy? What was Moshe concerned about in regards to the sacrifice that was brought and was burned instead of being eaten? What was Aharon's humble response, and how did Moshe take it? Why were Elazar and Itamar silent if the rebuke of Moshe was directed toward them? What were the three instances that Moshe got angry and why did this cause him to forget a halacha? How does this forgetfulness work retroactively - he forgot it before he got angry?! What is the lesson of the fact that Moshe announced to the entire camp that he had made this mistake and been corrected by his brother Aharon?