The rest of the non-logging world calls the one in the foot a "stake" - often used to kill vampires.
For your splinter kit, you will also need alcohol prep pads to clean the wound before you start working on it, some monkey blood for after, bandaids of various sizes, gauze for dabbing away the blood etc. No sense in letting it get infected.
Don't forget to clean your instruments immediately after use. You will need a brush to get the blood out of the teeth on the instruments and some alcohol. Surgical lube to grease them and keep them from rusting. They won't be sterile, but you need to keep them as clean as possible.
A small magnifying glass can also be handy for us more experienced folks.