Issue music itunes playlist

Hello everyone,

I recently bought the new iPhone 6S, and put all my music I bought using iTunes on it. I created playlist. The problem is that some songs are in dark in the playlist and I cannot clik on them to listen to them on the playlist. However, I try to dowload them again, but it seems they actually are on my iPhone, they just cannot be listen from the playlist. I think it is due to the new Apple music, as it believe it is music from Apple Music and ask me if I want to listen it off line. But I never subscrire to Apple Music (even free trial) and I paid for all the music...

Did someone have the same issue ? How to solve it ?

Thanks

MK