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The bar council has removed age restrictions so after your course, it should not be a bar from registering with BCI. You will have to appear in the AIBE exam to register yourself as an advocate.

Hi Nikita,
You should not worry. There are many options available for you. You can take admission in IGNOU or Sikkim Manipal University for management courses in distance learning mode. They are best available in the country for distance degree courses. If you are interested in learning only, then you can register yourself for NPTEL courses. You will get certificate also from NPTEL after successful completion of the course.
Best of luck.

Yes, your rank is good enough to get a seat in Andhra University. Good luck.

If that is the case, then you would have to do the course as distance or correspondence. But, in a regular course that would not be possible.

Here is the list of top college in which you can pursue your M.Ed regular
https://www.shiksha.com/teaching-education/colleges/m-ed-colleges-india

No, you can pursue one degree at a time. Or, you can pursue BCA+ MCA dual degree. Good luck.