Yes, that's a Gonipora. If it is still not happy, move it up a little. They don't like too much water flow -- try moving it to a more sheltered part of your tank. They also need feeding -- you should look them up on Google, and get a little coral food for them. They don't need lots, so a small container will last you a long time.
By the way, the "hairs" are called "tentacles."