B.Ed

Yes, it is recognised by NCTE and the degree for high and higher secondary school.

You can apply online by going to the official website of college that is "www.audde.in" and you will get the page. After that, go to the option of online payments. First option is application. Fill all your details and get yourself enrolled in the college.
Regards.

Yes, you should necessarily have that B.Ed and graduation certificate. At the time of application, they are not asking for it but if you qualify the entrance, then you have to present it for sure otherwise they will cancel your candidature. And if you are a final year student of B.Ed you can apply for CTET this year also.
Regards.

Yes, those who have done B.Ed are eligible for teaching class 5th. You have to appear for CTET whose application procedure has already started. There are two papers:
1) For class 1 to 5 teaching.2) Class 5 to 8.
You can apply for both.

Yes, you can do B.Ed along with a degree and 12th board.
All the best for your bright future!

Yes, the registration for CTET entrance has begun, you can apply for it. Go to the official website to apply. If you clear this entrance you will opportunities to teach in government, MCD and central schools.

Yes, you can do it but they will consider others before you because you are from different state.
All the best for your bright future!

You can opt for Business Studies, Economics, English.

You won't be able to as your major subjects are different in graduation. However, you can give your preferences added to your electives.