M.A History

Please check the link to get information about the same:
https://www.shiksha.com/tags/history-entrance-exam-tdp-12727
Good luck.

You can check the link for get information about best college which offers distance MA :https://www.shiksha.com/humanities-social-sciences/colleges/distance-correspondence-m-a-colleges-Haryana
Good luck.

Yes you can take an entry but it has to be a direct one since the entrance exams have ended henceforth choose a particular college that you want to study and then mail them and communicate with them to take direct admissions.

Yes you can go for M.A. after completing your b.com
All the best

Associate of Fine Arts degree programs have fewer required courses, and distance learning programs at the associate level can be completed in a minimum of two years. Bachelor of Fine Arts degrees usually require four or more years to complete via distance learning programs, since the pace is typically slower than in structured classroom courses.
Click on the link for more details:-https://www.shiksha.com/arts-fine-visual-performing-chp.
Thank you.

Your rank seems fine. I think you should be able to secure your seat. I will advice you to keep track of the counselling process till the end.

The fee may be around INR 2 to INR 3 Lacs, or it also depends on the institute.