I often have dry and red eyes in the morning if I stay up too late in the night and play computer games for too long. I often use artificial tears to moisten my eyes. As to the red eye, it will disappear if you get enough sleep next night. But I still suggest you not to stay up too late in the evening for it is bad for our eyes but also bad for our health.
If there are not enough tears to moisten your eyeballs, you eyes may be dry. You can blink your eyes a lot to produce enough tears. There are many causes for red and dry eyes. Sometimes they may be caused by an infection. Usually the symptom will disappear on its own a few days later. But if it is the serious infections, the patients must to see and doctor.