B.Com

You can go with distance learning MBA programs. Here are many universities for MBA programme. So, you may enroll there. Distance Learning Universities are
1. Amity University distance learning
2. Annamalai University
3. Suresh Gyan Vihar University
4. Mewar University

No, don't worry about it. Once you grasp the accountancy rules, you may find you're better ATIT than your commerce counterparts since you would try to logically understand the problems.

BCom Honors in which subject? If accounts, then below is the eligibility criteria, I think you will get the admission because you are nearby criteria try for admission
Aggregate: 80% [best 4] + 80% in
Accountancy/ Accounts / Business Studies/ Commerce/ Costing &Taxation/ Economics/ Statistics / Commercial Law & Auditing / Mathematics or other allied subjects

Sorry, you can't pursue both the courses from the same university. If you want you can change the course initially while filling the form.

It will be both Hindi and English. You need to specify the name of the college for better clarity.

Hi Shravan,
Yes, you can give improvement exam and improve your scores. Good luck.

Please refer the link to know the detailed eligibility: https://www.shiksha.com/humanities-social-sciences/economics/course/m-a-in-economics-banaras-hindu-university-varanasi-263347

For B.Com, you generally need to have done Commerce in class 12th. Math is required general for B.Com Honors.

You have specialised courses like M.Sc. Accounting and finance, M.Sc. Corporate Finance, M.Sc. Financial Services, M.Sc. International finance and banking like that. You can do in UK, where in your retrun on investment will be very high. You see the following university website to understand the course contents:
www.mdx.ac.uk
www.naopier.ac.uk
www.shu.ac.uk