Are you providing a source of heat for them?
Is she pooping?
Is her vent pasted up?
Have one spot in your brooder that is warm - watch your chick's behaviors, they will tell you if they are too hot/cold or just right. When you have a bigger area for them, put the food and water on the cool end of the brooder.
Do your best to get her drinking first, then offer some wet chick starter. You can mix a small amount of chick starter with some warm water - make it the consistency of oatmeal, see if she will eat a little for you.
I don't see any obvious peck marks around the eye, but other chicks can give a good peck to the eye itself or she may have gotten some dust or bedding in it. Try to keep it flushed out or gently wipe it out.
Keep in mind that some chicks, despite our best efforts fail to thrive, this can be from a number of unseen things like genetics, internal deformities, etc.