Chennai

Please use Shiksha college predictor tool for better results
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=2ahUKEwiytYvH96niAhUWOSsKHducASEQFjAAegQIBBAB&usg=AOvVaw1N9BzFtyUCP4JU-2UQHQ0H
good luck.

According to previous year data, there is chance to get this college.

Yes, you can get this college with your good academics.

Yes, you can go for LAW in Dr Ambedkar College. Go for it and have a great career ahead.

There is lot of university in Chennai
You can join according to which branch you want to study
You can watch Bharath University Full Tour on my channel https://www.youtube.com/criabhijeet?sub_confirmation=1

Here, you can find out the procedure to take admission in this institute'https://www.shiksha.com/college/government-law-college-churchgate-Mumbai-13416/admission.

Course Duration:3years
Fees : INR. 16000 per year.

You can get them from the famous store in Chennai named as Central Book Dipo.

Two deemed universities in Bangalore are -
PES University, Bangalore and Sri Siddartha Institute of Technology, Tumkur
In Chennai
Shanmugha Arts, Science, Technology and Research Academy (SASTRA), Thanjavur
Sathyabama Institute of Science and Technology, Chennai
Bharath Institute of Higher Education & Research, Chennai
SRM Institute of Science & Technology, (SRM University) Chennai
Saveetha Institute of Medical and Technical Sciences, Chennai
Hindustan Institute of Technology and Science, Chennai
St. Peter's Institute of Higher Education and Research, Chennai
Vel's Institute of Science, Technology and Advanced Studies, Chennai.

Your marks is good enough to take admission here.
You may get admission here.
Good luck.