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#1
Why did you format the disk? That is a very drastic measure so we need to know why you felt that had to be done.
Were you out of space? That is still very drastic. You could have just removed the things you didn't want or need anymore.
Did you install all of the latest drivers? What happens when you try to look at Network Properties in the System Tray? Is it there at all?
Right-click on a blank space on the Windows 10 taskbar and select Taskbar Settings.
The link "Select which icons appear on the taskbar" gives you options to enable or disable icons on the taskbar.
Scroll down to the area that says, Notification Area and then choose Turn System Icons on or off. You can then choose which icons, including Network, appear in that System Tray or Notification Area
Try steps given in this thread;
Taskbar will not work
Sorry then, I have no other suggestions. Maybe somebody else will step in.