When they have a motor in each wheel, able to fully charge the battery in ~10mins from dead, can stop/start in the city or cruise at highway speeds without the need for charging when it's sunny and can last 1000km on a full charge at night then I'll be all over it.

But even so this is impressive and I imagine it won't be long until we reach that point, then it's just a matter of waiting for those technologies to filter down to the average consumer.

"Unlimited distance" ? Er... not if you want to get back home . Nice car though...

This car would be great as an urban commuter where driving speeds range from 30 - 80 Km/h. You could drive to work, or do your shopping while the car is recharging itself. That being said, a crossover or hatchback design would be more practical. My question is, why are the other electric cars not being covered in solar panels?

Not crash tested means likely to be not crash worthy. I very much doubt it has AC. Unlimited endurance is obviously not true. PV doesn't work at night. But upper surface PV cells will probably become a standard design feature eventually.

How long will it take to pay back the $350,000 price tag?

So the first image looks like it maybe a self driving vehicle, since the panels obscure the forward windshield area, unless it is a strong tint, or translucent panel?
Even then the limitless claim is during peak daylight hours, I can't chase the sun in this thing and drive over 1000 mph to keep up with the sun...so say 10 average hours at 60kph= 600 kilometers.
ICE engine vehicles can do this distance legally in about 6 hours without stopping. Even at minimum wage it pays for the $40 to fill the tank in the four hours you have saved to do other things. Remember life is short, 4 hours here and there add up.

How often does one need to wash the car to keep the PV cell performance optimal?

AC? Heat? Sound system? Will it talk to (and charge) my smart phone?

The two platform fundamentals of efficiency are 1. Weight. 2. Drag. They got the weight but what is the drag?
Motor-in-wheel and carbon tube frame construction is cutting edge. Well done.
$370,000??? And no prototype? No funding? At that price, no wonder!

Lisc & have Tesla build some too, nice. Linked to his underside batteries, Infinite Range & should do well for Night driving given day solar power feed right.