Sales & Marketing

NIMS and Amity, Jaipur are two decent colleges with decent placements scenarios. Good luck.
https://www.shiksha.com/bba/colleges/bba-bms-bbm-bbs-colleges-in-jaipur

MBA marketing is the right specialization for you. It will help you provide skills to grow and sustain your business by acquiring and retaining customers.

You should search for a job and along with the job, you can search for short courses, which specializes in different segment of marketing provided by leading colleges.

There is no specific course for marketing in the gaming industry. Even if you find one such course, I will advise you not to do very narrow specialization course. You should never curtail your career in a niche industry unless you are convinced that you only want to have lifetime career in the gaming industry. You may do BBA or MBA with marketing and look for a job in a gaming company.

Both HR and marketing are good in XIME.
For GD you can study about current topics.
PI will be based on you education and work experience.

Generally, you can opt for B-schools. But, sometimes, you may choose general colleges.

You can expect anywhere starting from Rs 8 lakhs per annum upto Rs 16 lakhs per annum.Although you can even go below incase you're amongst last students getting placed, solely depends upon your resume.