Teaching & Education

You must keep a positive attitude towards your future. You can apply for TGT in both government and private schools, but you are advised not to stop your higher education. You should complete your Masters in commerce. In future, you will be upgraded as PGT (commerce). After 10 years, you can apply for the post of vice principal and principal with required qualifications and experience.
Good luck.

You need not do D.El.Ed after completing of your B.Ed. After completing your Master's degree, will you do your graduation again? B.Ed is Bachelor of Education and D.El.Ed is Diploma in elementary education. You should not opt for UG course once you are done with your Bachelor's degree.

If you have any doubt, let me clear it. Anyone can obtain a degree from any university within the country. Similarly, everyone has a right to get a job under any state government. It is our right to freedom. Now, if you have completed B.Ed from Andhra University and want to do a job in Odisha, there will be no obstacle, go ahead.
Good luck.

Both are good options, you can do B.Ed after your graduation but D.El.Ed just after your 10+2. With B.Ed, you can apply for both TGT and PGT. But for PGT you need to complete your Master's degree. D.El.Ed is a Diploma course. So with this, you can apply for the elementary level post that means from nursery to class 8th.

You are eligible to apply for B.Ed.
The eligibility is you need to have with at least 55 % marks either in the Bachelor's degree and/or in the master's degree in Sciences/Social Sciences/Commerce/Humanity, Bachelors in Engineering.

Mostly the colleges offer admission to students who have passed the course from UGC approved college.
AICTE college will grant admission or not is totally at the college discretion.

Yes, you can pursue D.Ed from IGNOU through distance.