M.A

Hi
Check the last year counselling list rankwise to know where you will be placed. You may try here as well.
Delhi School of Economics
Indian Statistical Institute (Delhi)
Indian Statistical Institute (Kolkata)
Indira Gandhi Institute of Development Research
Jawaharlal Nehru University
South Asian University
Madras School of Economics
University of Hyderabad
Gokhale Institute of Politics & Economics
Jamia Millia Islamia

Yes it should be valid. But could be askd in Job interview, So be prepared with sufficient reason and Justification for the same. You may need to find correlation between them.

You can pursue B.ed as it would be the minimum requirement for teaching.

Chaudhary Charan Singh University, Meerut, JNU Delhi, DSE Delhi & UPES Dehradun are best colleges for MA Economics. Among these DSE & UPES are best bet but these takes admission through entrance exams. DSE Entrance is already over but you can apply for UPES. Last date to apply for UPES MA entrance is today I.e 1st June. You can register online on website.

if you concentrate and daily read ecnomic magzimes and see news it will be easy to crack

IGNOU but it's distance education and one think it's fees is very cheep then it's beneficial for your financial issues.