I faced a similar question about 10 years ago. I had a bachelors in engineering (comp sci), I didn't want an MS or PhD, I had solid grades, and I wanted to move into "executive management" (whatever that meant). I ended up getting my MBA at a top 10 school, landed a business role at a large company, and a few years later, started my own company. Business school was right for me and I think it came down to the way I answered one question about myself...
Am I the type of person that embraces new opportunities and takes risks with my career?
At the time, I think the answer was no and as a result, business school worked out great. It introduced me to new career paths, brought in companies for me to interview with, and helped me engage with individuals with vastly different perspectives than my own. If the answer would have been yes, then business school would not have been the right choice. I was 26 when I started business school (pretty common age), and a person's late 20s is one of the best times to explore new directions and be creative with their career, since you already have some work experience and capital, but likely no children. The 2 years spent in business school (or 4 years if, god forbid, you go the consulting or banking route) is valuable time that could be spent taking bold risks.
If you believe that, then to answer your questions...
1. No, an eMBA does not make sense because you are both allocating your time to business school, which can help you identify new career opportunities, but you are also locked in to the company that is sponsoring you, so you aren't as free to explore elsewhere.
2. If you are already making $150k+, then there won't be much impact to your life until you make $1M+, so the salary difference shouldn't be factored in one way or another.
3. What do you mean by executive management? Different executive roles require pretty different career paths, and becoming an executive at a large company is probably 10+ years out, which is likely too far to really plan for.
Hope that helps. Good luck with your next steps.