To answer your questions:
1. For part-time programs, you're NOT too old. You'll be on the older side, but b-schools aren't really age biased with their part-time programs. So long as you can show how the MBA can help you in your current career, that's what matters most.
2. No one "needs" an MBA. Can it help? Certainly. But to what degree it can, varies by individual. Only you know how strong your body of work is to date. The richer your prior experience (and the stronger your network), the less useful an MBA will be at your age, beyond the intellectual fulfillment of learning new subjects.
3. EMBA vs. part-time MBA -- depends on your own preferences. There's overlap between both in terms of the kinds of students (although part-time may have a wider age range from young to old, whereas EMBA is mostly mid-career); the main logistical difference is that the EMBA holds classes on the weekends, whereas the part-time holds classes on weekday evenings. The part-time program curriculum is usually similar (or even identical) to the full-time programs, but spread out over a longer period (3-4 years). The EMBA is sort of an "MBA-lite" usually -- it doesn't cover as much ground, and can at times feel like a country club, with the employer sponsoring the student's tuition.
4. Yes. Strong execution on the applications (and apply early), coupled with some luck on your side and you have a decent shot.
5. Only you can answer that.
6. Don't know. At your age, I'd focus on what I can do without investing time/money into additional education -- see how far you can go with the experience/network you have now.
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