I didnt see any lice eggs, unless my vision is playing tricks on me. They are usually white or off white in color and are attached to feather shafts. The best place to find them is around the vent area where it's warm and moist most of the time, as Robin mentioned.
If you see lice eggs, then you should have seen lice crawling around through feathers and fluff. Lice eggs can be removed with coconut oil. Lice are white/off white or straw in color. Mites are black or red in color and suck blood and can cause anemia, then death..
Due to the feather loss and broken feather shafts, it appears that a rooster may have been overmating your hen at her previous location. If that's the case, new feathers will regrow during molt.
In your last post, you stated the other hen has a few spots under her wing. Again, this could be from a rooster wherever the homeless person acquired the two birds.