BBA

BBA is always better as today, the world is getting to dynamic in nature, hence B.Com syllabus can also be covered in BBA so, I will suggest you to do BBA.

As per your choices. That you have mentioned here, the best option is to do B.Tech and M.Tech and then MS as after completing MS from abroad. You will have a plenty of options and can have a very comfortable life ahead.

If you are doing it from Maharashtra, you will be awarded from DY Ajeenkya Patil University.

Dear,
First of all, as a management student, I can give you the suggestion that now a days doing course in international business is going and doing BBA in IB from Amity will be totally good for your future. It's a reputed institute for management and further, you can search for some other reputed institutes.

Yes dear, you can send him/her to the coaching for the preparation of IPM that is run by IIM, Indore the programme is integrated programme in management meaning BBA+ MBA. They are selecting only 30 seats for this course. And apart from this, he/ she can prepare for other top management institutes such as Lovely Professional University, SRM, etc.

You can get admission in Academy of Pastry arts at this moment as the admission in Institute of Hotel Management is closed. Or, The application for IHM abd GGSIP CET will be out in February 2019 for the next academic session, you can apply that time. Thanks.

Yes, you can take math as your subject in B.Ed.

Hi, yes above 90% is okay. But, it depends on how much cutoff does Loyola College keeps.

Yes, now Bharathiar University is approved by UGC.
Hope this helps you.
All the best for your bright future.