B.A

Bachelor Degree in mass comm. From distance learning is offered by numberless institutions and universities all over India and even abroad. There are online certifications as well. We need to give it a balanced view rather than simply rejecting one or approving.
Distance education is meant to substitute the absence of regular education of any Degree when the learner is, for all valid reasons, unable to pursue regular studies. Secondly, distance education is a better option when one already has skills to work with along with some experience as well.
Going by the description shared above, this is suggested that a distance learning degree in mass media (as well as any skill based and skill oriented course/subject) shall be avoided as much as possible.
This is also to be accepted that distance education has more failures in its credit in India. Just a couple of days back, Haryana Government terminated the services of those who did a technical degree through distance mode. It was as per Supreme Court ruling.
I wish to suggest that if possible, do this course as a regular student and from a good institution.

You may think of the following courses depending on the qualifications you already have:
1. If the current course is done after doing graduation then a Post-Graduation in Mass Communication/Mass Media/Media Production can also be good for you. I shall not hesitate to suggest even a Master Degree in A Language- English, Hindi or the one you see as an additional strength for editing and proofreading works.
2. If one does Certificate in Proofreading and Editing after class 12th, pursue Graduation as a must to do thing. Any Stream you may choose keeping in mind that an Alternative Career has to be met openly. Proofreading and Editing Job can also be a part-time thing so you have enough time to do another degree or Higher Studies.
3. If this Certificate Course is done by someone who is a Master Degree Holder, if not in Language or Social Science, Humanities, do one degree.

BA in mass communication is a traditional course. For this reason, the learner is advised to take some technical courses/short term trainings and certification, etc.
It helps in enhancing language skills and presentation skills via online as well as professional workshops.
There are many similar questions that can help you in understanding the parallel course requirement. While doing MA in media management the career is certainly going towards media management profiles. The managerial profile needs someone with vast understanding of all media profiles and jobs.
I shall not advise equally wide courses as parallel to Post Graduation in advertising. I shall still share that there are MOOCs and some distance learning courses to enhance the advertising management and public relation career.
Refer the following answers:
https://ask.shiksha.com/what-parallel-courses-can-i-pursue-with-a-certificate-in-editing-and-proof-reading-course-for-better-career-prospects-qna-4392895
https://ask.shiksha.com/what-parallel-courses-can-i-pursue-with-a-m-sc-in-advertising-management-and-public-relations-for-better-career-qna-4392908
https://ask.shiksha.com/what-parallel-courses-can-i-pursue-with-a-certificate-in-direction-for-better-career-prospects-qna-4392881
https://ask.shiksha.com/what-parallel-courses-can-i-pursue-with-a-certificate-in-documentary-production-for-better-career-prospects-qna-4392890