If your patient requires artificial respirations, the Bag Valve Mask (BVM) should be used. With or without oxygen, the BVM can be added to a medical kit in a compact state; check for any degrading of the material of the BVM before deployment.
You will find two other items to support respiration issues in most equipment sets: chest seals and needles for needle compressions. Chest seals, preferably vented, provide a self-adhering seal used for treating penetrating chest wounds. Although often referred to as a needle, the piece of equipment used to treat tension pneumothorax is actually a catheter-over-needle device, allowing the needle to be removed and the catheter to remain in place after use.