I think hydrogen starts to make sense if we ever live in a world where energy becomes free. You can replace the dino oil with hydrogen, since you can create hydrogen for 'free' using electrolysis. Then it becomes a way to store gasoline-like energy... but I still think all your points are valid for cars. Maybe, but batteries definitely seem better near-term.

Given we've got quite a few other hurdles before the utopia of free energy... well, batteries are for sure the better option now.