It can help on your eyelids, corner of mouth, lips
, tongue, or any other dry/cracking places. It helps soothe and heal
small chafed areas. It's available in health food stores in a 1 oz bottle; it's pricey, but it lasts forever. You can pop a Vitamin E gelcap to try this out before you make the investment.
For nosebleed, in particular, letting your bedroom have a bit more humidity can make a difference; this can help your eyes, too.