When I open it after the installation it seems that it "remembered" my previous wallet's name. How is this possible? I uninstalled it.
The uninstaller doesn't delete the data from the AppData. Press WIN + R, enter %appdata% and you should see 'Electrum' folder among some other folders.
Also, what's the point of that seed since I have the private key in a safe place?
It's much easier to back up 12 words than a long private key for a single address, isn't it? Especially, if one wants to keep the backup on some piece of paper or engrave it on some kind of metal.
