Okay, I might see something.
You have category selectors activated. It's not going to work on multisite, since each blog has different categories with different category id's. So a category with the same name on one blog, might not exist on the other one, since they have different id's. Unfortunately this is how WordPress works for now.
So by removing the category selectors (dragging them back and turning them off) should solve the issue.Best,
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