What do you mean by "I received prompts"? Where did they come from? I'm aware that the AMD drivers have a prompt when you open the control panel, but you can just ignore this.
From device manager? I'm not sure that's a good idea to update the driver without the software.
Hmm, it might be a better idea to download it from the manufacturer's website.
It is possible, but B650 is hardly old, so compatibility issues with AMD's own graphics card are not likely, I'd have thought. You could check the BIOS update descriptions to see if any mention compatibility or update issues.
I have a system with a 6600 and it is still using the release driver, so no, you don't need to. If you're playing a game that doesn't work properly (glitches 'n such) then you would need to and you'll lose some performance from the driver optimisations.