IPad mini repeating playlist without my permission
There is a repeat button in Apple Music. It is shown in this image: http://cdn.cultofmac.com/wp-content/uploads/2015/09/Repeat-icon.jpg

All you need to do is deselect that option. Don't be misled by the small '1' that shows up on the icon- you need to deselect it entirely.

If you don't have a button, please provide a screenshot so I can give different advice, but you should have it... It's easy to miss though