but I do
see " Registration→ Registration"
should I do?
If you see "Registration→IDM is registered" menu item then IDM is already registered and you do not need to do it again.
If the "Registration→Registrations" menu item is disabled then you have old version of IDM. In such case please update Internet Download Manager to the latest version.
If you use "Help→About IDM" IDM main menu item you should see the word "Full" after version release date (arrow 1 on the image) and your name (arrow 2 on the image).