Colleges in Tamil Nadu

Few exams which can open the gate for MBA from a premier college are CAT,XAT,SNAP,NMAT, GMAT and few more. So better start preparing for these exams before 6 months of the exam dates. Buy Arun Sharma books, start watching videos of CAT preparation coaching classes. For example: Takshila youtube chan

The total fees depends upon which department you have chosen. The the difference in the fees structure will differ only up to Rs 5k to Rs 7k . In my department (CSE) the total fees is tuition fees Rs 1.85 lakhs, books fee Rs 25 k and hostel fee Rs 60k. So total comes to Rs 2.70 lakhs.
hostel fees -6

Check out the link below for all the relevant details:
https://www.shiksha.com/college/alagappa-university-distance-education-tamil-nadu-tamil-nadu-other-24658/courses?bc[]=101&ct[]=193

You must try for Kerala University, but the best option in Tamil Nadu would be Madras University in terms of distance education and Annamalai University is also good.

No, it does not offer B.El.Ed through distance.
Refer to the link: http://www.annamalaiuniversity.ac.in/dde/W16_info.php?dc=W16 and http://audde.in/mainpgprg.php.

Yes, there are no issues at all. Any group in plus 2 or equivalent works, and you have a great percentage. If you continue working hard, you will have a bright future.
The fee would range between 75k to 1 lacs.