Hi @PMoon !
Unfortunately, to download songs and playlist you need to be a Deezer Premium subscriber.
If you have Deezer Premium then is no needed to download music ,because all playlists are on Deezer app .
If you will listen music offline then you can download music .
All downloads are on Deezer app ,so you can't download on phone or PC.
If you are on Deezer free you can't download anything.
You can take Deezer Premium and keep all your music on Deezer .
Or you can copy name and artist of song ,one by one to your list somewhere on your PC just to know which songs was on playlist .
Then you can make new playlist on streaming service which is free .
Or you can transfer music from Deezer to other streaming service with
TuneMyMusic