D.Ed

Shaheed Bhagat Singh Degree College is a reliable institute for D.Ed.

The Institute should be recognized by one of these organizations not all and as Singhania University is fully recognized by UGC and hence, it doesn't require NCTE recognition.

D.Ed and D.El.Ed, both are Diploma in Education. But, B.Ed is a Bachelor degree. With B.Ed, you can be a teacher up to higher secondary level, but with D.El.Ed or D.Ed, you can be a teacher up to class 8th. So, you are advised to do B.Ed after D.El.Ed.

Both courses are designed for Elementary Teacher Training i.e. upper primary (Class VI to VIII). You can join D.Ed or D.El.Ed course after class 12th (Senior Secondary).
If you qualified D.Ed or D.El.Ed after 10+2, you can apply in TET Exam (Paper I) I.e. for Primary Stage teachers.

Based on your profile, it seems that you have put extra efforts to change your stream from Commerce to Engineering. Small set backs should not take you away from your career goals. You are advised to continue your engineering degree and make effort to do well in studies to excel in professional career.

Yes, this is valid for Bihar and other states.