B.Ed

Yes, you can opt for MBA, HR will be a better option to go for after having work-ex in teaching field. You can target for TISS-NET as TISS is best known B-school for HR, offers many courses related to sociology and economics.
Check the below links-
https://www.shiksha.com/mba/exams/tissnet
https://www.shiksha.com/university/tata-institute-of-social-sciences-mumbai-24451

B.Ed is certainly a less wanted degree in big institutions so you should choose Ph.D.

Yes. To be eligible for admission into any reputed B-school in India, you must appear for any among the various entrance exams like CAT, XAT, etc and clear the required cutoffs. Further you also need to perform well in the interview rounds(if shortlisted) to finally get admitted into any B-school. Good luck!

Hello Faraz,
Yes, you can do first MA and then B Ed. There is absolutely no problem in this. But just a word of caution, these days for B.Ed many states are conducting Entrance Test. Please check as to what is status in your state.
Best wishes.

Of course, you can go for B.Ed if you're interested in teaching.

PGDPTT is Post Graduate Diploma in Pre-Primary Teachers Training.
B.Ed is Bachelor of Education (B.Ed) is a course offered for those interested in pursuing a career in teaching. The B.Ed degree is mandatory for teaching in higher primary schools and high schools.