Currently, everything on your list, except the hammer. Lots of things around that can be used as a hammer. I added the following:

1) A piece of clear plastic (6 mil or greater), 1 m x 2 m, folded up. Use it to lie on if you ever have to look underneath. Use it to line the luggage area if you have something messy to carry.

2) A Leatherman (a decent one)

3) A small hacksaw blade (currently missing), and a knife.

4) A travel package of Wet Wipes.

The emergency kit from my last vehicle, currently in the garage, includes:

hatchet
tarp and rope to build an emergency shelter
waterproof matches
candles
coveralls
gloves
12" x 12" square of plywood as a base for the jack
tow strap and 2 short lengths of chain with shackles
flares and triangles
power (energy) bars
all stored in a Rubbermaid tub and stashed in the back of the truck

But I lived a lot further north then, and spent a lot of time on backroads. No cellphone coverage, and the sole mission was to stay warm and dry until help arrived in the event of being stranded.

__________________
2007 X3 3.0si, 6 MT, Premium, White

Retired:
2008 535i, 6 MT, M Sport, Premium, Space Grey
2003 X5 3.0 Steptronic, Premium, Titanium Silver
2002 325xi 5 MT, Steel Grey
2004 Z4 3.0 Premium, Sport, SMG, Maldives Blue