Cards from your school are automatically archived after the exam date of the folder. If you want to keep doing cards from a particular folder you need to switch on long-term repetition for that folder:
If you want to manually remove cards from your daily repetition, go to your saved queue > "See all" > By Item > Remove from queue. This will remove them from your spaced repetition as well. (Any card you've answered otherwise will appear in your daily spaced repetition).
Note: The easiest way to test do not repeat is to go to See All and start one of the groups listed there. Then hit do not repeat for an item and go back and refresh the page. The total number of questions for that deck should decrease