Engineer exams

Yes, all the state governed institute universities exam are left.

Prepare well.
There are lot of exams for entrance for examination like KIITS, WBJEE LPU-NEST and the list continues.

What is your rank?

Hi,
I see your interest to know much about the upcoming and present exams happening in engineering trade for the same I am sharing you the link of Shiksha which has created a calendar for various exams happening in Engineering trade. This will help you see the upcoming exams and prepare for the same. https://www.google.co.in/amp/s/www.shiksha.com/articles/amp/engineering-entrance-exams-in-india-blogId-5645
I wish you a very all the best for your future.

For B.Tech from IIT Kanpur, you must qualify JEE Mains and also hold a decent rank in JEE Advanced. Since, you hadn't given JEE Main, I don't think you have any chance of doing that. Also based on your 10+2 marks, you are not eligible for IIT Kanpur, even for NITs and IIITs.

Yes, there are lot of scholarships available for you like Lal Bahadur Shastri and Pradhan Mantri Kaushal Vikash Scheme, etc. You can search for the eligibility there.

You can establish the coaching center for any branch. You have a very good qualifications and experience. But, I suggest you to establish the center for engineering, medical as well as for GATE and other competitive exams too. Just ensure that your knowledge will help others and whatever is going to be taught in center should be authentic and relevant to field only.

For JEE, maximum weightage is taken from 12th when compared to 11th in CBSE. If your 12th score is not enough for JEE weightage then you need to score little more in JEE Mains. This could help you in getting a seat in technological colleges.

Your question is not clear but by gist I could guess you are talking about not giving any entrance exam for engineering. Yes sure you can, there are many private college where you can get admission without any entrance exam but mostly they are not so good, if you have adequate money you can also opt for management quota seat in various private college like VIT, SRM etc. But if you can you should give entrance exam it would be much better for you. Your chances would increase and you could get a better college on your own.

If you are asking for JEE Mains then you are very late for that. The application deadline is already over. 8 April is the examination date. Even VIT and SRM registrations are closed. The only thing you can do now is to approach to a private college and go through management quota as all the good colleges have closed their application. If you would have given JEE Main then there were opportunities.
Good luck.