@ducdanhnguyen the half moon is telling you that the "Do Not Disturb" mode is on. Depending on your OS version to turn it off go to "Settings" > "Sound & Vibration" > "Do Not Disturb" or just "Settings" > "Do Not Disturb".
As for the overheating the charger, try a different charger (and charging cable) since it maybe the charger itself. If it still overheats, that means that your phone is drawing to many amps. Replace the charging board and the battery.
This "not displaying still vibrates" is usually indicative of a bad screen. You may have to replace that as well.
After all of that, re-evaluate.
To work on your phone and since iFixit does not yet have specific guides for this model, use something like this video
While you work on your phone, take lots of pictures. Once you are done with it, take those pictures and create a guide for iFixit. That will help the next person that has a device with the same issues as you do. It's easy and fun to create these guides. https://ifixit.com/Guide/new The iFixit community will appreciate this.
Repair is War on Entropy!
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