It is difficult to say what is wrong with your eyes based on your description. Eye pain is usually described as throbbing, stabbing, burning, gritty, sharp or dull pain in eyes. Normally eye pain is classified as ocular or orbital pain. Ocular pain is the pain from outer structure of eyes and it is caused by some eye problems such as blepharitis, conjunctivitis, corneal abrasion/ ulcer, chemical burns or sty. As to orbital pain, which refers to a deep, dull pain in or behind eyes, is normally connected with diseases like glaucoma, optic neuritis, iritis, migraines or trauma. I think it is better for you to visit an eye specialist for detailed examination. After all, timely and proper treatment is very important for eyes. Besides, pressing on eyes will cause intraocular pressure increased. I think it is better not to press or rub eyes.