CA

Instead of doing two things at once better to do CA first. After completing CA, go for it if you think you need CFA with CA. Focus on one thing, achieve it, go to next goal which you want to accomplish. And you can spend unlimited time for your career and enhance it further. Don't worry.

Definitely, you can pursue CA. You just need to enrol for CPT.CA offered by ICAI consists three level exams as (a) CPT (b)IPCC and (c) final, any non-commerce student can pursue CA.for more details and procedures,kindly visit the respective websites of ICAI.

Hi,
After IPCC, I would suggest to focus on internship rather than going for any other course as the same isn't allowed under CA act 1949. If you still appear for any regular course without taking permission from the institute, then your registration under CA will be cancelled for next 5 years.
Good luck.

There is no need to leave CA for CFA. CA will give you the best knowledge of market.

You can go for CA or CWA. You can also pursue MBA from a decent college.
Good luck.

There are many.
But, before applying for a good coaching institute, you need to check the performance of its Alumni.

N L Dalmia is a good choice with the given CAT score, NIBM looks good with MAT score. DSM might have higher cutoffs.
https://www.shiksha.com/mba/course/pgdm-banking-financial-services-national-institute-bank-management/63371

The Chartered Financial Analyst (CFA) program is quite easier than the Chartered Accountancy (CA) program. While both programs are demanding and difficult, the CA program calls for more focus, dedication, and experience than the CFA program. Completing the CFA program requires at least two years of study. With an average passing percentage of 0.5%, CA is regarded as the hardest course in the world. When compared to CA, the passing percentage for CFA is substantially higher. It appears that the pass rate is 10% on average.

Are you in 12th?