For instance, consider a character who is immune to fear, adjacent to a Sibriex Chain Master, which has the aura:
Sibriex Horror (fear, psychic)✦Aura 3
Any enemy that ends its turn within the aura takes 15 psychic damage and is slowed until the end of its next turn
or is targeted by the following attack power from a Tormenting Ghost:
Burst of Terror (standard; recharge ,  ) ✦ Fear, Necrotic
Close burst 5; targets enemies; +24 vs. Will; 1d8 + 9 necrotic damage, the target is pushed 5 squares, and the target is dazed and immobilized (save ends both).
Does the fear immunity let the character ignore just the slowing effect in the aura, or the damage also? And in the second example, is everything but the damage ignored due to the fear immunity?