Actually looking closer that’s from a nest pad she has in her box! I got a very brief look at her mouth and didn’t see anything. Nothing unusual about her walk as far as I can tell.
That sounds good so far. You could just add some poultry vitamins to her water to help her adjust to the new environment. And maybe offer her some scrambled eggs with oatmeal and millet to entice her to eat more.
Her eyes just made me think of ocular Marek's, but maybe it is just the light/camera fooling me.
Some pictures of ocular Marek's for comparison:
https://www.backyardchickens.com/hredirect2.php?c=7652760
https://www.backyardchickens.com/hredirect2.php?image=6897967 (eye on the left)
