Well, yes, it is normal to have red eyes, when you are tired. Generally speaking, when your eyes are tired, your eye pressure will be high and then, eye strain may occur. And in that way, it can just lead to a lot of eye problems, such as red eyes, bloodshot eyes, even dry eyes. And when you suffer red eyes, your eyes will feel itchy, dry, and painful and discomfort. For your situation, you can make an eye pack made from chilled cucumber slices. Just put those under your eyes, and it may be very beneficial. Of course, you should have a good rest and then, it will be fine. Anyway, just be relaxed and then the redness will disappear by itself.