Is that depression?

I don't know where to start and I find it very difficult to talk about it. Well sometimes so mostly in the evening I feel so useless. I'm mostly sad and think things like what can I do, or if anyone needs me at all, I can do it all. I often think that I do a lot of things wrong that I don't do that much can like the others. And I don't know if I can achieve anything in my life. That's why I always try to distract myself from listening to music or playing PlayStation on my mobile phone, which often lasts until 3-4 in the morning. Since I feel really tired at that time, I have to get up at 7 a.m. To go to school where I have to go completely tired. I can't concentrate there because I've slept so little, so I often don't understand the tasks and then my thoughts start again, only here is the problem that I can't distract myself. But still I feel really good every now and then I can joke and laugh too, but still when I have to go back to sleep these thoughts come back I don't know

Only a trained doctor can tell you whether you have depression or not, unfortunately nobody here can do that. You should talk to your family doctor, who can also rule out other causes.

To me that sounds like normal puberty, depression is much more than sleep problems. The thoughts that are causing your insomnia are not particularly unusual either.

Just talk to someone you trust about these thoughts, when they are gone the rest will go by itself. However, there are also some kind of skills on how to stop thoughts and then sleep better. E.g. Forcing other thoughts or that sounds stupid now, but just say stop the thoughts.

Playing PlayStation is the worst thing you can do. It just keeps you more awake and productive. I like music, try some quiet music to fall asleep.