Well you certainly weren't joking about the long post
! Just kidding - thanks for sharing the background, it definitely helps!
Ok, answers to your questions, in the order in which they were presented!
1) Yes. Most reapplicant apps call out a section for your revised GMAT. I can't remember off the top of my head if Cornell does or not but if it doesn't, absolutely! You did it after you applied so it counts. And you did AMAZINGLY on it! Why not call attention to it? And if they already know, what does it hurt to tell them again you have a 740 in your pocket? Remember, GMAT scores are an important factor in determining rankings - schools care. Wave that flag!
2) Not getting a new recommender for Cornell isn't the end of the world IF your original recommenders can speak to your growth. Can they? Your situation makes sense - no school would demand you put your livelihood in jeopardy and they are understanding of individual circumstances. So if you need a waiver, call up the school, speak to an admissions director, and tell them your situation. Let them guide you and put them in a position where they have to tell you no. It makes it difficult and puts some control back in your hands. For Cornell, just explain this in the application itself. Just make sure the recommenders speak to the change in you. Otherwise, it's a waste of time if they just repeat what they said 2 years ago, make sense?
3) You're over thinking this. They don't need a patent number. They're not going to pull your file from the patent office. State your goals and accomplishments clearly and honestly. If you don't have it yet, don't say you do. But if you get it later, you don't need to send the number to them. If getting approval provides a significant update, then sure, let them know it went through and that you now have a patent for something cool. But if you don't update them, it doesn't hurt you or make you seem like a liar.
4) I'm going to try to answer this with as little bias as possible. Yes, they do like you. My initial gut feeling is that your issue is story and messaging. You have to sell them on you, why they're great for you, and why, as an alumni, you won't let them or your other alumni down. If any of these components isn't compelling or convincing, you've got a problem.
Most people get frustrated their first time through the process - I can only imagine how annoyed you must be! If you'd like to chat about the process, learn about some of the services we offer, or discuss any other questions, don't hesitate to reach out!
You can sign up for time to chat
here. I conduct all of our consultations so it would be a good way to continue this conversation offline.
I hope this helps and keep your chin up mate!
Bhavik