Regarding point #3, I have the same thing but about the last 10 or 15 degrees on each side instead of 30 (set to 900 degrees). I also had the exact same thing with two different Thrustmaster T500RS wheels. On top of that, I know person with a Thrustmaster TX wheel that does the same thing. To me it's quite clear that this is a common thing with these types of wheels and I wouldn't worry about that at all. I had my 2nd T500RS for over 2 years and it did that since day 1 (bought brand new) and the wheel always worked great.
If your pedals aren't working when you plug them into the base then that's a problem obviously. Having said that, I'd rather use the pedals on their own anyways as they have 1024 bits of resolution when plugged directly to your PC but only 256 when with the wheel (absolutely ridiculous, why would Fanatec slice the resolution of the pedals at all when they're plugged into their [Fanatec's] own wheel base, let alone by 75%?).