Rajasthan

No, it is generally not possible to do both the degree at the same time from any university.

Yes, you can get admission easily in this university.

As you are in the final year of graduation, so you are eligible to apply for the M.Sc course at AAU. And, after completion of your graduation, you can join the M.Sc.
Best of luck.

Government college you can try for is SGSITS-Indore, IET-DAVV-Indore, JEC-Jabalpur, Guru Ghasidas University- Bilaspur, UIET - University Institute of Engineering and Technology, Panjab University
Indian Institute of Carpet Technology, Bhadohi (if looking for Textile Engineering)
Check the below link for list of colleges you can expect based on your JEE Main score - https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

Please visit this link-
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/amp/jee-main-exam-pattern&ved=2ahUKEwiCx5eb3IbiAhVIuI8KHXa6BjUQFjAAegQIAhAB&usg=AOvVaw2nqB-mOziaqydu0OWItb7o&cf=1
I hope this will help you.

Please clearly give me the details of what you want to know and what is your concern.

Hi Hemanth,
As you have scored 8630 rank in MAHE exam, so you are eligible to participate in the counselling process. But getting a seat in Jaipur will be difficult with this score. Still, I will suggest you to participate in the counselling process wisely and smartly and wait till the last round of the counselling. Best of luck.

Please visit this link. This is a college predictor by Shiksha and I hope this will help you to choose the right college-
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=2ahUKEwie-7mvrITiAhWz73MBHYuID8oQFjAAegQIAxAB&usg=AOvVaw1N9BzFtyUCP4JU-2UQHQ0H.