Well there are several relevant fields of study for what you have described. Media Studies, Film Studies, Communications, and Gender Studies all involve going over the kinds of things you described above.
However, these are fields of study as opposed to specific careers. If you do even a general google search with any of those terms and “careers” you will find a wealth of information and possibilities to look into further. It is hard to give a true answer to what would be a good career for someone without knowing them and much more about them, which is why I only gave fields of study as opposed to specific jobs.