Mysore

Bangalore is a better option. Many good institutes offering BBA are located in Bangalore.

Please check the below link:
https://www.shiksha.com/b-tech/resources/kcet-college-predictor

Check the below institutes:
JSS Science and Technology University
National Institute of Engineering
Also, check the college predictor link below:
https://www.shiksha.com/b-tech/resources/kcet-college-predictor

The counselling dates have not been announced yet. The result will be declared on July 19 and thereafter counselling dates will be announced.

It depends on your CET/COMEDK rankings, and for the branch you want to join, and also your caste. From what I know, you should try getting a ranking of at least 12000 or higher to join civil branch, 6000 for Electrical and Electronics branch, about 30004000 for Electronics and communication branch. For the more sought after branches like CS and IS, I would aim for higher rankings.

Follow the link below for all the details:
https://www.shiksha.com/college/the-national-institute-of-engineering-Mysore-21402/reviews?course=173050&sort_by=year of graduation&type=question (copy paste the entire link on the browser)
And to know the exact scenario for internships, get in touch with the current students through social media or in person.

Hi,
Candidates who are going to fill KSET Application Form 2018 must possess a Master's degree with 55 percent from a reputed and recognized university. Applicants who belong from scheduled caste and scheduled tribe have 5% age relaxation. If you fulfill the criteria, then you can apply. Thanks.

Eligibility for MA in Sanskrit:
BA/B.Com/B.Sc degree of any recognized university or equivalent degree there to with 55% of marks in language concerned under Part-I or those who have passed BA/B.Sc/B.Com degree examination and who have passed Sahitya examination shall be eligible for Registration to Master's degree in Sanskrit.