Colleges in Jaipur

You can consider the below mentioned colleges:
1. SIMSREE.
2. XIME – Bangalore.
3. Christ University.
4. PUMBA.
5. AMRITA.
6. PSG.
7. IPE.
8. ITM.
9. UPES.
10. Alliance.
11. Birla Global University.
12. FOSTIIMA.
13. Asia Pacific.
14. GITAM.
15. IISWBM.

Nine thousand is the opening rank or 13 thousand is the closing rank.

Yes, it is a good choice. You can do this course from Amity University.

Faculty of the college is good, even fees is very considerate but hostel facility is poor in Banasthali Vidyapith. It depends on your luck if you'll get a newly built hostel or the old one. You'll make friends for life here. Fun is going to be unlimited but being surrounded by thousands of girls all the time can be irritating. Restrictions on wearing non-khadi clothes and strict rules are there for getting a leave causes a lot of frustration. If your motive is just to study and study then don't come here.

Yes, you can pursue BCA but your chances of admission in a good college would become limited.

Yes, you are eligible for admission.

I think, for the Mumbai Campus, it's around 210.

BBA in regular from Jaipue National University, Rajasthan is good in terms of infrastructure, campus and placements. You can prefer it.

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

Sikkim Manipal is a good brand and carries good deal of participation from decent MNCs. They offer good placements and internship opportunities.
Good luck.