Power Systems Engineering (Transmission Planning):
Pay (Factoring recent inflation/wage inflation). If you have a decent undergrad skill set (not 'I took a machines course'), minimum $70k starting anywhere in the US. Major metros will be in the $75-84k range, having a Masters could push that to $90-95k. Very HCOL areas might be closer to $92-100k starting for a BSEE (but 'Very HCOL').
Very in-demand. I'm the most senior in my department at the ripe age of 37 (and I graduated at 29, Go Navy!).
It exists. Some are fully remote, some are mixed office/WFH, some fully office. My company requires a minimum 50% in the office, but offers flex-schedules - 4/10s, 4/9's + half day, 5/8s (Unfortunately no 9/80's because of state law dictating a work week as '7-days').
Depends. What would you learn? There is only a handful of schools in the US that give a proper Power System education at the undergraduate level. It'll be hard to compete against those graduates without further education (i.e. MSEE).
Yes. Yes. Yes. I did NOT enjoy coding in school, but I enjoy coding for work. Its literally the only thing I'll send home to work on, mainly because I enjoy it. Its like adult Lego to me. I'm super proud of myself when I get it work.
I work a solid 40-hours.
Where do you want to live? Power is one of those jobs that if you wanted to live in specific area, you might as be writing yourself a plane ticket.