IGNOU - Indira Gandhi National Open University

Yes you are eligible
B.Ed Course Eligibility:
A minimum aggregate score of 50% in graduation is a requisite for admission. A minimum aggregate score of 55% at post-graduate level is mandatory for admission into colleges for the B.Ed curriculum. Subjects Required: Graduation/Post Graduation from the recognised university.

No, you will not continue from 3rd year, you can start it from where you stopped it.

Yes, you can. Select your course check eligibility and then apply for the same. Check IGNOU website for programme details.

If you are planning for MBA go with Riim Pune, which provides you a great placement.

For teaching line you must complete BEd
BEd programme fee structure is concern, a candidate has to pay Lump sum Rs. 20,000/- for the entire programme in the first year and fee should be paid only through a Demand Draft (D.D) drawn in favour of IGNOU payable at the city where your Regional Centre is situated. For example : IGNOU, Regional Centre, Agra 0123456.

These are some good coachings in west Delhi
BELS - English Speaking Course/ IELTS Coaching in uttam nagar
EnglishMate - English Speaking Institute In Janakpur
Kumar Sir for English classes

http://www.ignou.ac.in/ignou/aboutignou/school/soe/programmes/detail/71/2.