Hi there,
Congrats on breaking the 700 mark on the GMATs. For some, it comes easily. You clearly worked hard and it paid off. Well done!!
Firstly, let's talk sponsorship. That's great and all, but know 2 things. For one, your goals don't match your sponsorship. Chances are you company would require you to come back, right? Secondly, most top schools, when they see "sponsored", put you in a special pile and scrutinize your app. So right there, your goal and need articulation is going to need some serious work.
Now let's talk GMAT. A 710 is a strong score. The 5th attempt not so much. There's no way around that. It'll be a red flag. It also carries some positives, though, and if I saw you go from a 500 to a 710 I'd still be somewhat impressed with your tenacity. However, one of the reasons they don't love multiple attempts is they want to see you can do it well quickly. Not try and try and try again. But these are the cards you have and those are the ones you play!
Honestly, the top 3 are extreme stretches. The top 10 that you've listed (Columbia, Tuck, etc.) are more realistic stretch schools but you're stretching there too. I'd say for aligned programs look to the 10 - 25 range. Your age, GMAT, etc. are some red flags and you're going to have to find the right programs/fits.
I hope that helps. If you have any other questions - I'm happy to help!
Bhavik