Punjab

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=AOv

Yes, you have a good chance to get a seat in CSE in Guru Nanak Dev University, Amritsar. You can check the below link for other colleges as well based on your JEE Main score -
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

As per the course structure available on college website, BBA course is not available with this college. For more details visit DAV college website. http://www.davchsp.org.in/default11.aspx.

You can refer the link for the prediction of college according to your scored marks:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

In Punjab, the following Universities can be good option for you.
1. LPU
2. Chandigarh University
3. CGC Landran
4. IKGPTU
5. GNDU
6. Punjab University
7. CT University
8. Thapar University
Bangalore : The following colleges can be
1. Christ University
2. PES University
3. Ramaiah Institute of Technology
4. RV

Yes, you can appear in JAC counseling for getting admission in these colleges.

You should appear in counseling there is a chance that you could get admission in mechanical, electronic, electrical or civil engineering branch. But please if you have any other alternative explore that too.

Hi Gurpreet, according to the college, the admissions will be based on the merit since you have scored well in your class 12th, I think you might have a very good chance of getting the admission in the college.
All the best!