The notebook does not turn off
Most likely you have some kind of process that loads the system. Look in the task manager for what processes hang, try by browse one by one to complete the process, and then turn off the laptop. There may be many nuances here, it all depends on the programs that you have installed. Can what program is hanging in the background, etc. Check, nothing more I can tell you without seeing your software and stuff.
Yes, it seems that some process is not unloaded and hanging, see the programs that are installed, the problem will be in this. A few years ago, too, it was, only on the computer. Then I had no experience, I took everything in succession, in turn.
I'll also give you advice, you'll remember, it all started this year, at this time what software was put. Maybe from the Internet that they put or updated. For this, too, can not turn off the laptop, maybe some toys, or add-ons to the browser. All look, but better processes see how they wrote above to you. Analyzing them you can definitely find the problem, why the laptop does not turn off. Still I advise on sites or computer forums to look and on to ask.