I have no idea what you'd need a sewing kit for in regards to a snake bite
Large constricting snakes can give very servere lacerations when they bite, the sewing kit and scalpel blade would be useful in tidying and sewing up the wound.
Cordage would be useful in the process of Pressure immobilisation
From Wikipedia
Pressure immobilization is not appropriate for cytotoxic bites such as those of most vipers,[10][11][12] but is highly effective against neurotoxic venoms such as those of most elapids.[13][14][15] Developed by Struan Sutherland in 1978,[16] the object of pressure immobilization is to contain venom within a bitten limb and prevent it from moving through the lymphatic system to the vital organs in the body core. This therapy has two components: pressure to prevent lymphatic drainage, and immobilization of the bitten limb to prevent the pumping action of the skeletal muscles. Pressure is preferably applied with an elastic bandage, but any cloth will do in an emergency. Bandaging begins two to four inches above the bite (i.e. between the bite and the heart), winding around in overlapping turns and moving up towards the heart, then back down over the bite and past it towards the hand or foot. Then the limb must be held immobile: not used, and if possible held with a splint or sling. The bandage should be about as tight as when strapping a sprained ankle. It must not cut off blood flow, or even be uncomfortable; if it is uncomfortable, the patient will unconsciously flex the limb, defeating the immobilization portion of the therapy. The location of the bite should be clearly marked on the outside of the bandages. Some peripheral edema is an expected consequence of this process.
Apply pressure immobilization as quickly as possible; if you wait until symptoms become noticeable you will have missed the best time for treatment. Once a pressure bandage has been applied, it should not be removed until the patient has reached a medical professional. The combination of pressure and immobilization can contain venom so effectively that no symptoms are visible for more than twenty-four hours, giving the illusion of a dry bite. But this is only a delay; removing the bandage releases that venom into the patient's system with rapid and possibly fatal consequences.
Painkillers are useful to control pain and therefore reduce stress in the casualty making it easier to determine if the bite was dry or not and antibiotics are useful to fight infection caused by bacteria being introduced sub dermally due to deep puncture wounds.