I completed the 80,000 Hours career guide. My primary problem area interests are emotional intelligence, promoting effective altruism, promoting positive values, and mental health.
Based on the career guide exercises, I think that advancing social-and-emotional learning (i.e., improving education) is one of the best methods for these problem areas. There are many SEL organizations that I would like to get involved with possibly as a professor.
Note: If you do not know what social-and-emotional learning is, look it up.
I think that communicating ideas around solving these problems through the media is an effective method as well (i.e., being an influencer). However, emotional intelligence - which includes my other problem areas - is not nearly as neglected in the media as it is in education. There is a lot of videos and books about motivation, hard work, happiness, anxiety, managing emotions, etc.
Currently, I am stuck on whether I should focus on education or the media or both. Can someone provide some advice?
It is hard to advise on this without knowing your current situation. Both becoming a professor and becoming an influencer are career paths that are not easy to tread, and recommending one over the other will hinge on where you are in life currently - what is your age, educational background, subject interest (important re: professor), marketable hobbies or content niches (important re: influencer) etc.
Unless education differs starkly from other disciplines, note that you will apply to all top programs, not one top program. Applying to one program would be foolish as the chance of getting accepted, even if you are a top candidate, is rather on the low end.