Bumps on the eyelid are typically either chalazion or hordeolum (stye). The former are painless while the latter are painful and can be either internal or external. It's imperative that you go see your eye doctor ASAP...
You could have contracted scabies, it appears ususally on feet and hands I would contact a dermatologist...you could have contacted a parasite or have a food allergy....if you are using anything new on your skin even laundry
Are the "bumpy patches" a result of your anxiety and stress? Perhaps. But they may also be due to any number of things.
If you are concerned your doctor should be able to provide a diagnosis, or refer you to a specialist