Ohhhh no metal! Thank youCongrats on your first soap - it looks great! You should really put a piece of parchment or cotton cloth between your soap and the metal rack. I, and many others here, use plastic needlepoint mesh canvas to keep the soap from coming in contact with metal while it is curing.
If you are trying to develop a recipe for eczema, make it very mild and without color or fragrance. At least as a starting point.