J.A.
Try Sunglasses for her eyes- if they feel better, she'll leave them on.
As for the skin, I might try using a little face cream with spf 15 in the morning before going outside. I would still contact the Dr and ask for an opinion. It sounds like prickly heat; which really, you can't do anything but try to keep her cool. However, it could be the remains of a bacterial or viral infection, a fungus, eczama (sp), soriasis (sp), or a number of other treatable causes. If the Dr does feel it is a skin condition (like eczama or soriasis), you may want to ask for an allergist (as the other poster stated) in addition to the dermetologist. Many of times skin conditions are food/envoinmental reactions. You may learn that she has an egg and grass allergy, or dairy, or even beef and tree pollen. If an allergist isn't an option (they will somethimes make you wait until 5 yrs old) then try an elimination diet. Take out all things that come from a cow for 2 weeks, and see if there is any change. If not, resume regular diet ocow products, and eliminate poulrty. So on and so forth until when/if you notice a change.
If she seems to clear up when you, say, take out the fruits (just as example), add them back one fruit group at a time (citrus, berries, pitted fruits, apples & bananas...), one week at a time. See when the reactions restart. Most veggies have a very low allergy risk (part of why they are "babies first foods"), so I wouldn't worry about any except legumes (podded veggies like beans and peas). Keep in mind that soy and peanuts are legumes as well and have higher allergy risk than most other veggies. And remember that tomatoes are fruit, so no pasta sauce or Ketchup if you actually have to go through the fruits.
HTH and that she is feeling better soon. ~J.