Amity University, Jaipur

Manipal University is far better than Amity University. Manipal provides better environment and infrastructure and helps in building career in the respective field.

If you are able to pay the fee required then you may get admission in Amity easily. You may need recommendation to get admission.

Amity University is a purely vegetarian university. You are not allowed to bring non-veg food inside the campus but you can go outside in any restaurant to have non-veg.
So the answer to your question is that Amity only offers vegetarian courses in BHM inside the campus.

Yes, Amity gives admission to NIOS board students also but your aggregate should be minimum 60%.

NLUs, GGSIPU, BHU and private universities like Amity, SRM and Galgotias offer integrated BA LLB/BBA LLB course. It is best to go for NLU via CLAT exam which will give you brand value and great campus placements.
You can also do BA from DU and then LLB from DU only which will take an extra year but it is good.
Future of the course is bright. You can go for job/practice yourself or become a judge.
Amity-Jaipur has girls hostel and it is good.

Maths in 10+2 level is not compulsory for BA economics but after joining degree you may have math as your subject. Good luck.

Yes, Amity University Jaipur is recognized by the UGC. To view its UGC recognition letter view this link
http://www.amity.edu/Jaipur/about-recognitions-and-accreditation.
This allows the university to start any technical education and hand out degrees or Masters without any prior approval.

Yes, Amity University is definitely a good idea but you can look for other options too and not just stick to one.

Yes, you can take exam and after the declaration of your 12th result, you have to submit it's printout copy at the university to get the scholarship.

Yes. Why not. Amity university jaipur is a perfect institute for b.com(H).you can go through the Amity university website for more details like:-fees ,admission process.