Profile Evaluation: Where am I going wrong??

To be honest, I think it's a combination of applying to schools that were simply out of reach for you (Duke or any top 16 school), and your communication skills based on what I've read in your post (you should've been competitive for Mays and NUS).

Simply put, I think there's three things going against you. First, you're up against more than enough Indian engineers/IT guys who are already working/living full-time in the US or Europe, and these folks have a much bigger advantage compared to you (their experience gives more comfort to adcoms and post-MBA recruiters alike that they can fit in with far less culture shock compared to you). Secondly, I really think you need to find a way to improve your communication skills (at least your writing skills, based on your post). I get a sense that you don't have a lot of experience interacting with people outside of India, and my hunch is that adcoms probably also picked up on that. In short, they were likely concerned about your ability to adjust to a new culture, especially when they have plenty of other Indian guys to choose from who may not have the same hurdles as you. And finally, you're simply not as experienced as most engineers/IT folks who apply to school (most have around 4-6 years).

What I suggest is to find whatever which way you can to work abroad, even if it's temporarily on assignment with your company (if possible). Or to find a way to work full-time. This may seem like an intermediate step that you'll dread, but one of the most common ways for many Indian engineers like yourself to get exposure to the US is to apply to MS in engineering programs in the US (which may be easier for you to get admissions compared to b-schools), and then working in a technical role for a few years after that in the US before applying. That does put your b-school plans further out, but in the longer-term it may be worth it if you're looking to establish a career outside of India. An alternative to that would be to simply get a b-school degree locally in India, and work your way into an expatriate role post-MBA (i.e. joining an international firm right out of school).