Not a bad start, im skeptical though
Why a claw hammer?
Do you never expect to use shallow sockets or need an extension?
What about wrenches or even an adjustable?
Personally i would have a breaker bar with at least a socket for the lugs and probably one for the cv nut in case you need to change a hub bearing
My go-to bag in my Dodge is more extensive than that, but still fairly compact. Most of the tools in it are Craftsman USA, and I've been pretty happy with their quality.
I agree, an extension should be included. Shallow sockets are fine, but my kit only has deep sockets. My experience has shown me that deep sockets will cover everything a shallow socket can do, with the exception of tight confined areas, which are a very small fraction of the jobs, and even then, I have a handful of wrenches in my kit to take care of them. However, if you only have shallow sockets, and you need a deep well, you're SOL. But once again, I have wrenches to take care of those instances.
Ditto the opinion of the breaker bar, and the adjustable wrench. I have a 12" adjustable in mine, and it handles most everything I could need on the truck.
I have a claw hammer in mine as well - a ball peen hammer would be more correct for a vehicle tool kit, but I can't ever remember a time I wished I had that peen end of the hammer with me. However, I OFTEN use the claw hammer for odd jobs that come across my way while I'm out on the road, carpentry stuff, and if I had to pick only one hammer to have with me, a claw hammer is where it's at.
Couple other things I'd recommend:
couple small punches
small and large file
tape measure, 25 ft will do
crimp tool for electrical connections
handful of common combination wrenches (1/2, 9/16, etc.)
one medium pair of Vise-Grips
duct tape and black electrical tape
small rolls of wire (electrical, and steel common baling wire)
zip ties of various sizes
spray can of WD-40 or similar
handful of auto fuzes
That'll get you started.