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You may be able to apply for a supervisor position directly after your Masters or M.Phil /PhD, however if you plan to pursue the position right after your UG course you may be required to intern first or take up a position as assistant supervisor before you are promoted to supervisor level.
A Bachelor's degree in social work, public administration, management, or related field, may substitute for one year of the required eligibility experience. Supervisory course work and/or training may substitute for the some of the lead/supervisory experience.
Employment standards: Three years of experience as an eligibility worker in a public social service (welfare) agency, and one year of lead or supervisory experience or training in any field.

Probability of qualifying in JEE Advanced doesn't depend on your 10th grades in any way. So stop making such calculations and instead work hard to get enough marks in intermediate, minimum 75% is needed in intermediate in order to go for JEE. After that you need to prepare well and give your JEE Mains exam, after you qualify that you should prepare well for JEE Advanced exam, after qualifying that you're good to go. If you have got good scores then you can study in the best colleges, if not it's okay you can go for colleges which are suitable for your score. So, I recommend you prepare well, take mock tests, solve previous papers and do well in your exam. All the very best.