Hello and welcome to Apple Support Communities, fvillain
If I understand your post correctly, you're not able to play music with your Apple Music Student membership. I'd like to help.
Is iCloud Music Library turned on? This guide with help you check:
Go to Settings > Music, and tap iCloud Music Library to turn it on. You won’t see an option to turn on iCloud Music Library until you sign up for Apple Music or iTunes Match.
![](https://support.apple.com/library/content/dam/edam/applecare/images/en_US/applemusic/ios12-iphone-x-settings-music-icloud-music-library-cropped.jpg)
If you already have music on your device, you'll be asked if you want to keep the music that's on your device.
If you choose Keep Music*, the music from your device adds to your iCloud Music Library.
If you choose Delete & Replace, the music on your device is replaced with the content of your iCloud Music Library.
* When you choose Merge, songs on your device that are in the Apple Music catalog become instantly available to access on your other devices. On iPhone, iPad, and iPod touch, songs that we can't match are shown on your other devices. But you won't be able to play them on your other devices until you sign in to iCloud Music Library in iTunes.
See the full article here:
Turn on iCloud Music Library with Apple Music
Let us know if that resolves this issue for you.
Thanks for using the Apple Support Communities. Take care.