Yes to the first, no to the second (I would almost certainly not qualify for the ones you listed--not for lack of talent, as I forgot more math by the time I took my PhD qualifying exams than most CS graduates ever learn, but for other reasons).
It is my second job in this area, and I'm a bit (~15%) better compensated this time than last.
It is my second job in this area, and I'm a bit (~15%) better compensated this time than last.