CBSE 10th

Hello,
Maths is not compulsory. You just need basic knowledge of 11th-12th mathematics and that is enough for what is required. Good luck.

After you graduate, for any job you need to get professional specific skills or knowledge. These 10th and 12th marks will just hold you few extra minutes in interview answering why you got that and why they should hire you in spite of that. The last question matters the most and your professional skills and abilities later determine your worth for job, not 10 or 12.

Domicile certificate maybe required in most institution. Educational purpose certificates are easier to get and requires less years and documentation. An aadhaar card always helps and voter card, land/property tax receipt exceeds the requirement.

Diploma in Sound Engineering: Eligibility
A candidate must have passed class 12th or High School Senior Secondary exam by the Central Board of Secondary Education (CBSE) or any equivalent exam conducted by any State Board or Equivalent to be eligible for this Diploma in Sound Engineering course. The students must have a Science stream in the qualifying exam i.e. Physics, Chemistry, and Maths as subjects. However, the marks secured by the student vary from on institute to other.

Yes, sure you can do that without any doubt.

Yes, maybe, you can get a scholarship as their are different categories of scholarship that SC candidate get.

Yes.
You can apply for this course, if you are interested in this course, you can apply!

Hi Sadab!
As you have completed your 10th exam. No you are eligible to take admission in intermediate courses. Choose a subject which makes you comfortable.
Best of luck.

Yes, you can pursue degree from some private institute as government may not allow admission. But, you can try to take some private institute.
Good luck.