Though it is impossible to tell what you have without examining your eye, it seems most likely that you are suffering from some irritation of your conjunctiva. The conjunctiva is the outer lining of the eye ball which also is continuous with the inside of the eye lid. When the conjunctiva becomes inflamed, we call it conjunctivitis. Conjunctivitis is caused by an infection of the conjunctiva with either a virus, a bacteria, or irritation by an allergic reaction. The vast majority of cases are caused by a virus. A viral conjunctivitis can be extremely painful and can cause the eye to be red, irritated, and release a watery discharge. Antibiotic eye drops will not help this other than helping to lubricate the eye which can be soothing but will not lessen the time of the infection. The pealing of the skin under your eyelid is probably the conjunctiva itself which is pealing away from the infection.
The best way for you to get diagnosed with the correct condition is for you to be seen by your doctor
. I suggest that you schedule an appointment with your primary care physician
. After an thorough eye exam, you will know how long it will take for this problem to heal. Good luck.