Grasses are high in indigestible cellulose. So it might be better not to let her out on grass until you're sure she's got a crop that is working. But it sounds like she's definitely improving.
Molt can affect appetite. If a chicken doesn't eat enough, the crop can suffer stasis, slowing down from not enough material moving through the digestive system, kind of like a partial clog in a toilet can slow the flow and eventually require a plumber. Feeding egg is a good plan. Watch the poop. As the disorder is resolved, the poop will turn back to normal consistency.
Also, you are welcome, but a weekend for me is the same as weekdays. I rarely can tell you what day it is regardless.