Ph.D

Hi,
You must hold a Master’s degree, take the GRE and submit a writing sample. Get in touch with one of the department faculty, it important that they know you first before you submit the formal application. Details can be found on the department website:
https://gsas.harvard.edu/programs-of-study/all

Please confirm your basic educational qualifications for an appropriate advice.

You can check with your MBA institute, whether online MBA degree issued by them is equivalent to MBA and approved by AIU. If it is AIU recognized and equivalent to MBA, then you can do Ph.D in management.

Yes, you can pursue MBA through distance mode. IGNOU and Welingkars are two great options. Ph.D can be specialized into above subjects.
Good luck.

It is no longer compulsory as per apex court decision in 2014. Good luck.

LLB is something, which you should learn and add to your portfolio. It will be always an added advantage.

The integrated Ph.D program at various Indian universities is for the students with an excellent academic record at B.Sc and who are strongly motivated to pursue a career in research. Unfortunately, BCA is not treated equally to B.Sc. Therefore, you are not eligible for integrated Ph.D program.