I find that starting to learn a new skill helps with boredom. Even if you don't intend for it to lead anywhere. For example I find distraction on Khan Academy, which gives you points and allows you to get a new avatar the more you learn. On the other hand it is okay to not achieve something significant in a day, if you find yourself getting frustrated thats okay, be frustrated. If going to sleep is what you need to do, do that. I hear that you are having a tough time and I want you to know that you are not alone.