Annamalai University

Hello Johnson,
Integrated MSc course allows one to continue to do MSc without any further entrance exam after completion of three years of BSc. But if one has done BSc somewhere else including in this university also there is no direct admission to 4th year of integrated course. One has to undergo process of getting admission to MSc.

Yes, you can apply for B.Ed. You need to apply online. The selection will be based on the merit and marks obtained in graduation.
For details refer:http://annamalaiuniversity.ac.in/adm/downloads/2018-19/prospectus/bed_med_pros.pdf.

Anna University was established on 4th September, 1978 as a unitary type of University.

The criteria for admission for B.ed is 50% marks. You can't do it, if you belong to general category. But, if you belong to a reserved category, then you are eligible.

Yes, you can go ahead to pursue it, as such there is no such restrictions until you have a 10+2 certification from a recognized board. There are very colleges providing this Course. I wish you all the best for your choice.