Ditto to the comment about some liquids (brake cleaner, wd-40, lithium grease, washer fluid, 1 qt of oil, etc.). #1 recommendation is hi vis safety vest on top as the first thing to grab. In addition to what you have I also carry a 1/2” breaker bar, 24” pry bar, cheap 1/2” ratchet, lugnut sockets, wheel chocks and a 6ton bottle jack.
Here’s my car kit living in Scotland 🏴,UK Winter Car kit ( All) Car accessories- Box 1 Towing eye for front of car Good Tow rope Good quality Jump Leads Spare 5l screen wash ( -20c) First Aid Kit Tool Kit and large cable ties Silicone WD40 10l Fuel can - flex hose Gloves Tape - Electrical & Duct tape Snow Brush for clearing car Windscreen cover Telescopic metal snow shovel Tyre socks Knife ,Hand axe and Folding saw Warning triangles x 2 Flashing LED strobe lights x2 Orange survival bag Power bank and charging cable Pencil ✏️ and pad Tea light candles Plastic Pee bottle (Winter Tyres fitted to AWD car) Winter Car Kit Food and Drink- Box 2 Flask with Boiling water Water and Juice Snacks - Mars Bars / Cereal Bars / Sweets Gas stove / Spare Gas/ Lighter Plate,Bowl,Insulated Mug,Cutlery Soup/ Pot Noodles Coffee/Milk ( 2 in 1 sachets) Tissues/Toilet Roll / Wipes Personal Belongings Rucksack 40l Hi Vis Jacket Hi Vis Vest Waterproof Jacket & Trousers Fleece Winter Boots & thick socks 🥾 Hat and Gloves Towel Survival bag Sleeping bag Inflatable pillow Head torch x2 Wind up torch Mobile Phone x2 Umbrella Hand warmers
I carry a few additional items, duct tape, bailing wire, paracord, wd-40, brake or contact cleaner, starting fluid, a small butane torch and can of butane, or a can of lock de-icer, window scraper brush combo tool, even here in Northern Florida I've had frost on my windshield more than a few times, small tarp suitable for laying on mud or to shelter under during rain, or optionally tyvek coveralls, a few spring clamps, a few caribiners, An extra utility knife, extra safety glasses, hand cleaner and some rags.