Hi, @lesunrise! A big welcome to the Spotify Community!
We're very happy to help with this. Just to clarify, does this happen in just one of your computers? It'd be nice if you could share the device details with us.
Are you using the desktop app or the web player? Date added isn't currently visible in the web player, but you should be able to see the album title. Could you share a screenshot of what you see with us?
It would be nice if we were also able to see more information about songs on our playlists; not only title, artist and date added, but also name of the album, date of release, etc. Just like on Windows Media Player where you can choose what fields you want to see.