Dear aspirant hope you are doing well..

yes you may pursue your pg course from indra Gandhi national open university  (IGNOU). IF you wanna eligible for competitive exam. But most of the competitive exams are conducted upto ug level /graduation level. If you wanna crack a government exam then you can prepare for the competitive exam along with your pg course.

Career opportunities after B. A.

https://school.careers360.com/articles/top-10-careers-in-arts/amp

Career opportunities after M. A. You can read the article. Link is given below.

https://www.careers360.com/courses-certifications/articles/30-job-opportunities-after-ma/amp

Hope it's helpful for you thank you.