Your first itchy eyes may be caused by the invisible bacterium. Your eyes may get infection. You need to do some treatments to cure it. However you rub it which will intensify the problems of eyes. Your swollen eyes could be treated with one home remedy, warm compress. You could have a try. It is very workable and effective.
For eye itching judgment, the main thing is to see if it has with other symptoms. If it is only simple itching, and itching seasonal very obvious, the same time with nose itching, and flow clear nose, and sneezing such as nose regard allergic symptoms, the may is allergic caused by. When you use your hands to rub them, many bacteria on your hands will then go through your eyes, so, it not only reduce the itches, but also increase the symptoms. You can use a clean cloth to wipe eyes, or use eye drops as what doctor told you.
Well, from what you said, I can see that you are suffering from some eye problems. As a matter of fact, that might be conjunctivitis, which may generate itchy eyes, and of course rubbing will make your eyes swollen. Anyway, you gotta stop rubbing them and take some time to rest your eyes. Also, good medical treatment is needed in the case of your problem. And you should make healthy use of your eyes.