Teacher

Yes, you should be eligible for teaching 2nd-grade students, although it is much beneficial to become a professor in college. You can also try going to class 10th. All you have to do is apply for jobs in various private schools and try to clear the interview which is the selection procedure in most private schools. If you want a government school's job then you have to qualify exams like TET.

You are eligible, but for government schools, clearing TET/TGT exams is mandatory. Two types of the exam is conducted by TET:-
Primary stage (For becoming teachers from class I to V). Elementary stage (For becoming teachers from class VI to VIII). If you have completed 12th or its equivalent exam from a recognised board with above 50% marks then you are eligible for the Primary stage TET exam. If you have completed a graduate degree from a recognized university then you are eligible for Elementary stage TET exam. There is no age criteria for TET exam.

Hi,
Yes, you can do B.Ed. One way is to do Masters in the subject which will remove that problem. But it would be better to go for M.Sc. Ph.D. and professorship in college which is more rewarding.

Hi
To become a teacher, you must possess a major in the subject you want to teach, qualify the CTET exams and have B.Ed degree. You can also pursue till Ph.D. and then become professor in some college which is more rewarding.

You need to complete your Master in Commerce plus NET exam and Ph.D. level to apply for Lecture jobs in best University. Plus, you should have good Number of Research paper during your studies and strong communication skills for effective and renowned lecture.

Refer the link:
https://www.shiksha.com/b-ed-chp