Are you currently subscribed to premium through iTunes / App store, or are you subscribed to premium through the Spotify website? Or are you on the free plan?
Make sure you are logged into the same Apple ID in the app store that you were using on the old phone.
Let me know how it goes.
Hey there you,
Yeah, you! 😁
Welcome - we're glad you joined the Spotify Community!
While you here, let's have a fun game…