Human Resources

It is not so with most if the colleges, even IIMs take a lot of freshers with no work experience.
Talking specifically about your profile, I guess you should consider work experience as well. It will value-add to your experience and will be good for an MBA if you later decide to do so.

Yes, there are many PG courses which you can pursue.
All the best.

HR is diverse and definitely provides challenging roles. The growth is slow compared to other specializations like finance and marketing. Whereas others depend on data, market, customer analysis, HR depends on people analysis. Nowadays there are various challenging roles in talent acquisition and learning and development.
One should opt a specialization depending on how feasible it will be for them in their future.

HRM is an integral part of every organization. As an HR you might have to work either of the following recruitment, learning and development, compensation, performance appraisal, etc. There is definitely tremendous scope and learning in this line, however when u compare it to marketing and finance is definitely has a bit slower growth.
For MBA there are greater chances to get a profile with more diverse roles.

Hi,
Eligibility
Candidate must be a graduate from a recognized University.
or
Must have passed Diploma in relevant field from a recognized institute/ university and should have minimum 3 years of work experience
Admission Process: Interested candidates can apply directly to the college.
https://www.shiksha.com/mba/course/post-graduate-diploma-in-human-resource-management-pgdhrm-mit-school-of-distance-education-gandhi-nagar-gandhi-nagar-bangalore-127542

Yes, even after an MBA if you want to do it all over again, you must go through CAT or any other entrance exam.

Hi, the US News & World Report Rankings give an accurate list of the top online MBA programs here:
https://www.usnews.com/education/online-education/mba/rankings
You may narrow down your choices by going through the requirements, fee, etc.