I love dying my hair. I do it often. i think there is nothing wrong with dying it as long as you remember to take care of it.
Try to get some hair solutions that improve the look and health of your hair, and make sure that your hair gets all the vitamins it needs.
As for the video game, making having it break was a good thing? I personally love Skyrim. However, I've learned to handle my life first before I start gaming. As long as you balance everything out, you should be fine.