CBSE 10th

You can contact an open school for that.

The following colleges can be the best suited to your profile as under:
1. Institute of Finance and International Management, Bangalore
2. IPE, Hyderabad
3. Alliance School of Business, Bangalore
4. Jaipuria Institute of Management, Lucknow
5. Department of Management Sciences, PUMBA (Pune University).

Yes, you have scored quite well. You will be asked to appear for GD and PI rounds once you clear the entrance test which is conducted by KSOM. I think the form will start coming from December 2019 for the admission process of 2020. For more accurate details, please visit the official site of KSOM.

GIM doesn't have any set bar specific to undergrad marks as far as it is more than 50.

No, it is hard for you to be acceptable in any of the college.

Yes, you can definitely apply for IIHM there are no such criteria that you cannot apply of you have gap in your 10th and 12th standard.

It is very difficult. Lot of factors matters for the final selection. Only CAT percentile does not matter.

It is expected to be announced this month.

The result is not out yet, but it is expected to be out in the month of March. No dates have been announced officially.

You will not get a good score through CMAT entrance, as your score is very low.