Degree

You need to be a graduate for applying in UPSC CSE exam.
https://www.upsc.gov.in/examinations/Civil Services (Preliminary) Examination,2020

Yes, you can be eligible for GME course at GEIMS, if meeting the below eligibility criteria.
1. Educational qualification : Graduation in BE (Mechanical) Engineering / Naval Architecture
2. Percentage required : Minimum marks of 50% in final year and with Minimum 50% marks in English language at 10th OR 12th OR in Degree Exam.
3. Age : Not more than 28 years (as on course commencement date).

Scope: After your graduation from a B.Sc Mathematics degree, you can pursue courses like MCA M.Sc. IT, actuarial sciences, MBA or M.Sc. In Mathematics. To get the most out of this course, it's best to immediately pursue higher studies after having completed your graduation.

https://www.shiksha.com/university/tamil-nadu-agricultural-university-coimbatore-23625/questions
Here are the complete admission details about the admission procedure.
Kindly follow the link.

If you have the interest to learn mass communication and journalism's concept, theory, fundamental then you'll find no difficulties. Choose your specialization according to which creates more interest to learn like you're from computer background so from my point of view you'll love Electronic Media field. Check this amazing blog about Electronic media: https://www.nimcj.org/blog-detail/everything-you-need-to-know-to-make-career-in-electronic-media.html.

Regenesys Business School qualifications are accredited with the relevant South African regulatory authorities. It is Accredited by the Council on Higher Education (CHE), registered with the Department of Higher Education and Training (DHET) and recorded by the South African Qualifications Authority (SAQA). Regenesys Business School is also internationally recognised with ISO 9001:2008 accreditation. Regenesys Business School qualifications are internationally accepted for further studies

Yes, you can apply for bank exam in your final year. Many students apply for IBPS and Bank PO as well. Make sure you score well in your exams so that your marks do not have effect on your job. Thankyou.

There are a few colleges in Hyderabad, they offer Game development and animation courses. If you are keen into gaming I suggest "Backstagepass institute of gaming and technology", else if you are more into animation VFX and movie graphics "Pixeloid" is the best.

https://www.shiksha.com/university/Jodhpur-national-university-38089
This will help you. If this college is properly affiliated and you have taken admission legally then your degree is valid.