Film & TV

The question does not share any information whether the course is a Diploma-Degree-PG or merely an add-on course as MOOC or training. Still, the answer is here based on general perceptions and replying considering the course as Graduation at least.
Government Job Opportunities for a course in Film, Television and 'New Media Production are good.
It is good that the question mentions NEW MEDIA because the largest number of jobs in the Media domain is on the 'INTERNET and WEB' based platforms. When we say NEW MEDIA, we acknowledge that there are fewer Jobs in the traditional media profiles.
Film: Making of Documentaries, Direction and Production of Serials/Short Movies/Features or Video works in PR Departments and Universities as well. Media Units, as well as the Cultural Affairs Departments, can hire.
Understand that there is more PROJECT based association with the government than JOBS.
Television: The same applies here as well as for films. The additional Job available are those of actors, News and Special Programmes as for CEC, Gyan Darshan, IGNOU etc.
New Media Production: Digital World and Internet-Based World. All Jobs that are on Internet can be done once the Public Relation Department decides to offer an opening.

Direction - Films, Movies, Short Films, TV Serials, Features, Advertisement/TV Commercials etc. is a profile with the Public Relation, Doordarshan/Prasar Bharti divisions of the government. There is a possibility to get employed with the Universities and Film Production related government Institutions as well. Media Studies institutions managed by the government shall also offer jobs to Directors and Makers and Faculty.
Direction shall also be an eligibility to take Part Time or Project Based Jobs with the Government. Generally, LONG TERM Projects are also like Jobs when one gets employed in the government.
For more read:
What are the government job opportunities after completing a course in videography? https://ask.shiksha.com/what-are-the-government-job-opportunities-after-completing-a-course-in-videography-qna-4393074
https://ask.shiksha.com/what-are-the-government-job-opportunities-after-completing-a-course-in-documentary-production-qna-4393111

Higher studies are for those who have time and want to excel in the academics of a particular subject.
If acting and modelling students delay the starting of work in the professional world, they will be late.
Refer the following answers:
https://ask.shiksha.com/should-i-opt-for-higher-studies-or-pursue-a-job-after-completing-a-course-in-cinematography-and-why-qna-4393442
https://ask.shiksha.com/should-i-opt-for-higher-studies-or-pursue-a-job-after-completing-a-course-in-performing-arts-theater-and-television-qna-4393498
https://ask.shiksha.com/should-i-opt-for-higher-studies-or-pursue-a-job-after-completing-a-course-in-public-relations-and-corporate-communication-qna-4393404
https://ask.shiksha.com/should-i-opt-for-higher-studies-or-pursue-a-job-after-completing-a-course-in-mass-communication-and-why-qna-4393425
https://ask.shiksha.com/should-i-opt-for-higher-studies-or-pursue-a-job-after-completing-a-course-in-advertising-management-and-public-qna-4393492

Direction and documentary production are not opposite domains and can never be. A director is part of the documentary production as well. The director may make informative/educational work, entertaining movies, animations, thrillers, romance or children movies. The direction is the most important thing.
Hence, direction is a comprehensive term whereas documentary production is a part of the main.
See the answers below:
https://ask.shiksha.com/which-has-a-better-scope-and-why-public-relations-and-corporate-communication-or-camera-and-lighting-qna-4393351
https://ask.shiksha.com/which-has-a-better-scope-and-why-non-linear-editing-or-performing-arts-theater-and-television-qna-4393379
https://ask.shiksha.com/which-has-a-better-scope-and-why-print-and-tv-journalism-or-acting-and-anchoring-qna-4393348

A course in direction cannot be done unless you do a Bachelor's Degree in the film making and production domain. It is made clear merely a certificate course cannot make someone a good editor to claim jobs at the best places.
I shall suggest that when a good job with growing possibilities is there one has to take up the assignment because mass media jobs are the best to do when they come to you. Once the hunt starts, it takes time.
Refer the related answers:
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-an-advanced-certificate-in-direction-for-better-career-prospects-qna-4393525

Cinematography scope: Media, especially the electronics media has become quite a vast domain of learning as well as jobs today. The considerations of abroad or national are gone because the digital revolution has trespassed the boundaries.
Cinematography has not just remained restricted to films and entertainment anymore. The scope of cinematography is quite big all around. There are projects that are done on a global level and even for a certificate course, the scope remains good. As cinematography is learning the camera its direction and uses, photography -still or motion - hence the career prospects are always there. The course can work winners for those who have been searching for an opportunity to learn the nuances of cinematography work. The certificate course, however, shall be done preferably from an acknowledged and recognised the place.
Film, TV and New Media Production - Overall, there is no difference in the domains mentioned.
As a Mass Communication Expert, I shall not appreciate the submission that each of these categories mentioned is different from each other, they complement each other.