If you want to add Computer, Recycle Bin, Control Panel, or your User folder icon to the desktop in Windows 10, there's an extra step you'll need to know how to do.
First, right-click on the desktop and choose 'Personalize'. Now, select 'Themes' on the left-hand menu then select 'Desktop icon settings' under the Related Settings section. Click the checkboxes for the icons that you want to add to the Desktop. You should see the icons show up as soon as you click Apply.
Note: you can rename This PC to My Computer by simply right-clicking and choosing 'Rename'.