B.Sc

Yes, they provide suitable Placements.

Here is the list of some institutes-
Saraswati Distance Education,
Vidya Tilak College,
MPTA Education,
eduVishva Academy etc.

Yes, there are mid semester exams for every course.

Nalanda Open University is a good university.

Yes, you can pursue MD in cardiology after B.Sc. Cardiology.

You can pursue Masters in Surgical Technology.

Please contact with your college or university.

Yes, I think some Universities provide study mode in online.

I think colleges select students on the basis of merit of previous exam, so if you will get selected, then definitely you can take admission.

Yes, You can give the NEET exam while in your graduation. If you got selected and got a medical college then you just have to get a migration out of your B.Sc. Course and submit it to the medical college you get.
1st year B.Sc. Students have a awesome opportunity to score good marks in NEET as their knowledge about the exam is very new and their subject knowledge is also intact. They can easily clear the cutoff by proper preparation.