B.Sc

You can do it from any prestigious institutions. Bachelors in such subjects will not make any difference, whether you pursue from a state university or from a central. Cracking it to the IIT will be exceptional keep in mind.

It's better that you do engineering as you don't have much scope in B.Sc. It's just a waste and you will get a lot more opportunities in BE than in B.Sc.

Placement wing:
Placements in our college are relatively better than other colleges our city. But most of the placements are for the students who are studying computer science in their Bachelors course.
Remarks:
Our college has a huge alumni network. Many of the senior students still interact with us and we share our experiences with our juniors. Our alumni also consisted of many prominent personalities of our state, so I must say that our college has a vast alumni network.

No, it is not possible because the eligibility criteria of BBA is 12th. Once you have done your graduation, you can only do post gradation.

Analytical chemistry, as this will help you to get in analytical research area in chemical, pharmaceutical, metallurgy, food processing, leather and other industries.

You can go for B.Sc agriculture, physics or chemistry.

As per my knowledge or as I heard from my teachers any distance degree does not have same value as the regular one because according the companies who gives you job thinks that you don't have enough knowledge about that field because you don't took regular guidance from the faculties. So there is no same value for distance degree compared to regular one.