Apps on iPhone lockscreen: how to remove them, i.e. Starbucks

Hopefully a simple solution. I installed a recent Starbucks app, and noted it was tracking my location and popping up on the lock screen. I do not want that. At all. Even after setting not to show on lock screen, it shows. I finally just removed it, but wondered as to how to get it to stop? I even turned off location tracking and yet it continued.

I wonder if having the older version still on my phone might have caused this?

This sounds like the iOS suggested apps (they can appear as an icon on the bottom left of the lock screen). You can turn the suggestions off in the Settings app under General -> Handoff and Suggested Apps

It may be because you added as a passbook pass. If it only shows up when you are near the store, that's the reason. Go to the Starbucks app, click Stores at the top, click the store you are at, and hit the X near the passbook option.

(You can also delete the pass directly in Passbook.)

Go to the passbook/wallet, click the app, then the little i for information, uncheck show on lock screen.