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Photo #3 of Post #4 are clove polyps (Clavularia).
The orange-colored coral in Photo #2 of Post #4 are sun corals (tubastraea). These are non-photosynthetic and must fed on a regular basis (e.g., feed each polyp mysis shrimp & cyclopeeze thee times weekly or more; feeder tentacles extend at night or when they sense food in the tank).
You may want to remove the nuisance green hair algae that is covering this sun coral piece.