Your description sounds typical of eyelid eczema.
With eyelid eczema, the skin around your eyes tends to be itchy, red, dry and flaky.
Do see a dermatologist to help you confirm the diagnosis and treat it.
A mild steroid cream or a non-steroid cream (called Protopic) is normally very effective for treating eyelid eczema.
Please stop scratching/rubbing your eyes as this aggravates the condition. Stop using make up products around your eyes too as this may worsen the condition, or may even be a trigger.
If you had recently used any other new soaps or products for your face too, it’d be a good idea to stop them for the time being.
Cheers