It certainly sounds like you have an issue. It is thought that rubbing the eyelids can have a long term effect on the eyelid architecture. There is good evidence that this type of chronic eyelid rubbing can contribute to changes in the cornea that cause long term thinning of the cornea and in some cases a condition known as keratoconus.
As mentioned by some of the responders to your question, prominent eyes also suggest a condition of Grave's eye disease. Do you have this? From the description you have provided, it is impossible to know. Another condition that can cause significant wear and tear on the eyelids is obstructive sleep apnea.
My recommendation is to consult with an oculoplastic surgeon. This is a board certified ophthalmologist who has gone on to complete specialized fellowship training in eyelid, orbital and facial surgery. Ophthalmic Plastic and Reconstructive Surgery is one of only two plastic surgery specialties recognized by the ACGME, the American Council for Graduate Medical Education. The American Society for Ophthalmic Plastic and Reconstructive Surgery maintains a website with a directory to assist you in finding a well qualified oculoplastic surgeon near you: ASOPRS.org.