I limit metal items in my ultra-light pack, but nail clippers, tweezers, and a single-edged razor blade are always in it. The blade will perform minor surgery, to remove a deep splinter or thorn, debride a callus, etc.

Ditto to all the other items. Small scrap of soap for everything including shaving is my method too.

I agree oral care is important. After my first season of hiking, the dentist took one look and said, "What did you do?" I carry a ziplock with a tablespoon of baking soda for brushing teeth, another bag of wood toothpicks, and dental floss with needle as mentioned above. What I like about baking soda is no rinse and spit is needed if water is at a premium on a desert hike. But yeah, get in a good oral care routine.