My son's face kinda looked like that, just not as bad. They said it was baby acne at first, but turned out it was eczema. They switched his formula to a hypoallergenic formula and it cleared up! I also put Aveeno eczema lotion of his face 3-4 times a day and shea moisture on his body.
I just called the doctor
Hopefully we will findout with it is :( makes me so sad