Something to keep in mind for controller users:
L1 + Left/Right cycles through Alliance members so you can heal/raise other groups in crystal tower.
L1 + Up/Down cycles through the enemy list (the list that shows the enemies along with how much hate you have on them) which is useful for tanks when they lose hate on a specific enemy out of a pack.
I also second making the targeting filter in order to heal others in FATEs. Alternatively, you can make a target-of-target macro, target an enemy, hit the macro and you will be able to heal its target.