Eczema on baby

Respected doctors ,
My baby has had eczema since 2 months he is almost ten months now . When he was born his face broke out in a terrible rash that went away. But then at 2 months dry patches started appearing by his elbows and lower legs . He also has eczema all over his torso . I treated with a banerji protocol arsenicum album 200 + hepar sulph 200 his torso cleared but the other eczema remained. They switch me to arsenicum album 200 +antimonium crudum 6 his eczema on his legs seemed to get better but then keep coming back , he didn't used to itch but now he scratches until he bleeds. The eczema by his elbows is dry and scaly and hasn't budged . He also has a patch near his shoulder . He was colicky as a baby and has put on very little me weight , he is quite skinny . I don't know if he is allergic to food . He is very smart and active . Please any help would be appreciated .