The wireless chargers are terrible with anything stuck to the back of the phone. My friend has a case that allows a credit card on the back and he has to place it so specifically on the charger otherwise it doesn’t work, without the credit card it even has issues because it has a little bit of space, but better than with one.
For the car mount, I would suggest: https://www.amazon.com/gp/product/B076B27WP6/
I’ve had it for 8 months now and never had a problem. I have the iPhone XS Max and it fits as expected, but it has both vertical and horizontal controls so any sized iPhone (or Android) will fit. The adjusting controls work great and after I found the perfect angle I screwed it in until it wouldn’t budge and I’ve not noticed it move since.