Cooking stuff: salt, pepper, herbs, spices, flexi cutting board/prep surface, olive oil. Smallest wooden spoon.
Cooler: I prefer a minimalist backpack (no padding) for grocery runs and luggage over-spill.
Insect repellant.
First aid kit (cuts, grazes, infections) with small scissors/tweezers.
Pocket knife: is it big enough for food prep, does it have can/bottle openers, screwdrivers etc.
Length of ducktape, few zip ties, 5-10m parachord, chain powerlink.