If we think about the a car not moving on the curved road, there are components of Normal Force and gravity which will make the car slide towards the inner bank. So for a stationary car static frictional force is towards the outer bank.
Yes! 20 m/s seconds was correct. Thank you for clarifying the fact that the normal force is not just mgcos (thetat). I noticed that someone had mentioned that previously, but I had no idea how to explain it. Makes sense now. Thanks to all who helped!