B.A

Yes, you can do MBA even after B.A. English. You can go for MBA- IT, Finance, Operations, E-Commerce. You should have cleared any one entrance test (such as CAT/MAT/ XAT/NMAT /CMAT/GMAT/NEST) accepted by various colleges and you should also have minimum of 45% to 55% in your Bachelors (any stream) for admission in the same. Admission in MBA is done via two modes- either through an entrance exam or direct admission which is based on merit basis or management quota basis. MBA specialisation, which are as follows:
Oil and Gas Management, Hospital and Healthcare Management, Supply Chain and Logistics, Tourism and Hospitality, Financial Markets, Finance, Marketing, Human Resources, Business, Operations, Information Technology, Retail Management, Strategy, Entrepreneurship, Business Analytics, E-Commerce, Banking and Financial Services and Agri - Business Management.
Some good institutes are:
IIMs
Xavier's Labour Relations Institute, Jamshedpur
Indian School of Business, Hyderabad, Lovely Professional University, Punjab
K. J. Somaiya Institute of Management Studies and Research Mumbai
Lal Bahadur Shastri Institute of Management Delhi
Management Development Institute (MDI), Gurgaon
Narsee Monjee Institute of Management Studies, Mumbai
National Institute of Industrial Engineering, Mumbai
Faculty of Management Studies, Delhi