Thankfully my depression and other issues are much better now although I still find it close to impossible to sit down and play a game, watch a movie or read a book for some reason :( It is a great shame as I used to love playing video games as a kid/teen. It is horrible not being able to enjoy something you used to love. It is almost like that part of my brain is been switch off and I can't find the on switch anymore.
I would suggest you to responsibly try two medications, one is Duloxetine, the symptoms you describe (about the sleeping part)are very similar to mine, I coulnd't sleep, I couldn't sit and watch a movie even when trying to force myself to do so, and worst yet, I couldn't enjoy music, and I used to listen music all day long. I would wake up at night sweating for no reason. It may or it may not work for you but is surely worth a try. Just start with one single 30 mg at night, if you see improvements a couple of months later you can start using 60mg; of course if you don't see improvements just stop taking it. If you are taking any anti-depressants better read first about any possible reaction between that and Duloxetine.
The other medication that helps my brain be very focused is Modafinil, lost of focus is one of the symptoms of my chronic disease (Fibromialgy) and it helps greatly on that matter, it also helps a bit with the mood, it is usually taken by people with narcolepsy, a common sleep disorder. Is also taken by healthy people who needs to stay awake for long periods, such as combat pilots and overnight workers.