Welcome to HCM.
Since the red bumps you have mentioned is associated with itching, I am thinking more in terms of,Conjunctival Papillae, which occurs in Allergic conjunctivitis
. The more you rub your eyes, it is going to release more of the substance causing itching. You need a direct examination to confirm this and if I am correct,then,depending on the severity , you will be started on anti allergic eye drops with a short course of steroid
So, stop rubbing, wash your eyes frequently, give cool compresses and clean your sheets and pillow covers once every week and if you are a contact lens
user, then stop wearing them until consultation.
Hope you get well soon. Take care.