There are several forums about eye creams, do a quick search and you may find a lot of useful info
If your day moisturizer has SPF in it, then I don't believe it's necessary for you to use a separate eye cream with SPF. Just pat the moisturizer gently around the eye area, then at night use your normal eye creams. (No SPF necessary since you're going to bed of course)
About the face wash, usually cleansers containing alcohol are very drying for the skin so I recommend a cleanser that is alcohol-free and very gentle. This will help retain the natural moisture in your skin and keep your skin looking healthy.