Just wanted to check in to see how you were doing- hope that you are seeing an improvement with the eczema!
Eczema can be pretty tricky to work with and a huge variety of things can set it off. As far as if it's leaky gut- I can't say. There are many medical professionals that don't believe that leaky guy is really a 'thing'- and others that thing it's being blamed for all kinds of medical issues that it has nothing to do with.
It's important to try to identify your triggers- I eliminated all scents in the products I used. Fragrance free lotions, soaps, everything. Make sure you use lotions, but nothing with a scent.
It may also help you to keep a log of what you are eating. My sister found that when she ate gluten, it would set her's off way more. For others, it could be an excess of sugar- it's worth keeping a log of what you consume and how your body seems to react to it.
Good luck- it can be frustrating to deal with, I know!