I have heard something about an Eagle Court of Honor. Is that some kind of special Court of Honor?

Yes it is a very special Court of Honor. An Eagle Court of Honor is also an Occasion of Celebration in the Troop, but in this case it is solely for the purpose of Awarding Scouting's Highest Honor, the Eagle Scout Badge, to that special Scout who earned that very difficult to obtain rank. It is a very special Ceremony tailored to that special Scout. It is a ceremony that is well worth attending.