Purchased music both not deleting, and automatically downloading despite not wanting it.

I use my family's Itunes account, mostly so that I have acsess to the few songs I purchased through Itunes, with the rest being downloaded from elsewhere. However for the past few months, if someone downloads music onto their laptop, it automatically downloads to mine. Even more, this very night, suddenly all the music anyone has ever bought is not only forcing itself onto my iphone without me doing anything, but when I delete it, it just redownloads itself several seconds later.

This is happening on both my laptop Itunes library and my Iphone music app. How can I stop this? Automatic downloads are turned off, my Show Apple Music is off, and I am signed out of home sharing.