Eczema and skin rash

Hello, I’m looking for some feed back on diet as well as advice. I developed a severe eczema flare up this year, and currently have been prescribed an oral steroid. I am gluten intolerant and suffer from fatigue and insomnia. I also have constipation/diarrhea gas and bloating. Been reading about leaky gut and have most the symptoms. I started a probiotic recently as well.
I was wondering if leaky gut can cause the rash over my body that seems seprerate from the eczema? If anyone has any suggestions It would be appreciated.