Don't Teslas not have AM/FM radios? I recall reading they were getting some complaints for that due to radio being a critical means of communication in an emergency.
Regarding the issue with the Infotainment system, I had the exact same thing happen to my Volt ('17). While it will be covered under warranty, try the simple fix first of pulling the three radio fuses out and putting them back in (RADIO, INFOTAINMENT, and DISPLAY) - you have to get all three. That is what resolved the issue on my car and it's been fine since.