Chandigarh University (CU)

CU has emerged as an attractive place to pursue this course in the last 3 years. They have actually developed a lot. It is important to note that the placements of today won't matter much for you when you complete your degree after 3/4 years. Still, for the question, I would suggest that you take the data from them as their online counsellors are available for such information. The Placements for a Bachelor Degree Holders are not very high anywhere in the Private University World. CU still have better chances to give you a placement, depending on your competence, in the future.

Not sure about CU, but there are other colleges where this course is being offered. Here is a list of the best M.Sc colleges in Bangalore:
Indian Institute of Science
International Institute of Information Technology
Jain University
Jyoti Nivas College Autonomous
Christ (Deemed to be University)
Mount Carmel College
MS Ramaiah College of Arts Science & Commerce
Reva Institute of Science
St. Josephs College
The National Degree College.

Surely anyone can get admission. If you don't get admission then your fee will be refunded into the respective account used for payment after your visit to the university.

Bachelor of Journalism and Mass Communications (BJMC) is a 3-year duration undergraduate programme for students who wish to pursue their career in journalism and media industry. The eligibility at Chitkara of this course is 10+2 or equivalent with 50% marks from a recognised university or board.

There is no such entrance test to join BA LLB but, if a student intends to get a scholarship then he can give CUSAT exam conducted by the institution in the month of June.
You can apply for admission directly by registering yourself on the website:
http://www.cuchd.in/legal-studies/ba-llb-integrated.php

Yes, you can. As per the eligibility requirements of the institution, any student with a minimum of 50% from any stream can apply for admission to this course.
http://www.cuchd.in/teachers-training-and-research/ba-b-ed-integrated.php

No, it's not necessary to have maths in intermediate in order to pursue your desired subject.