Is this eczema? And will chemical peels help? (Photo)

Recently I noticed my skin under my eyes got really tight? Like it creases when I smile or do any sort of facial expression (if that makes sense? It also burned when I apply anything to that area (under my eyes to just on the cheekbones). I THINK it's because of a new soap I tried.. the rest of my body is fine but apparently my face is not. Now it looks like I've got really bad wrinkles and it's taking a toll on my self esteem. I'm only 26. Could this be eczema? I have no history of it though.