#1 was true all the way till ~10 years ago when 3G became popular.
#2 is still true is most 'urban' areas. People just take their phones with them when they get out of their cars.
#3 is interesting - I think some regions had tried to ban mounting phones on the dashboard, but at this point, they must have given up
Btw. in the 90' I used to detach each-single-time that I parked the car the front panel of the car's radio to then carry it with me (leaving the storage box in front of the passenger seat open, to show that I didn't just put it in there) to discourage people from breaking into the car to extract the radio (front panel & main car radio were individually coded to only work together, that's at least what I believed).
What a silly thing to do, hehe, but to be fair the price of a fancy radio at that time was similar to today's phones ("Pioneer" and "Sony" were high on my list - some models had quite complex display animations/colors/equalizers/etc & sound modes).
I still remember when my dad had bought an aftermarket tape-deck-only radio, a Sony I believe, well into the era of the ubiquitous CD player (he just wanted a working tape deck). Someone broke into the car at some point and stole it and I can only assume they were very disappointed after looking closer.
The precursor, HSCSD, was ridiculously expensive because you paid by the minute.
If my memory is correct, there was also dial-up on mobile/GSM (well, I used something before I had a phone that supported HSCSD), which was interesting, but quite useless at the time.
Also, #3 makes little sense seeing as there were already cars with built-in satnav, and you had to look down, which is worse than a phone on the windshield.
Yeah, it was called CSD. HSCSD was high-speed CSD.
The technology has come so far, it's pretty incredible.