M.A English

The minimum qualification for admission to the M.Phil programme will be at least 55% marks in the aggregate in M.Com./ MIB/ MHROD/ MFC/ MBA and other such degrees which are equivalent to the MBA degree of Indian universities.
However, the candidates with degrees other than M.Com./ MIB/ MHROD/ MFC/ MBA would be required to furnish an equivalence certificate from the Association of India Universities or any other competent authority. The onus of producing the relevant equivalence certificate lies on the candidate.
Or, PG in the relevant subject with a minimum of 55% marks.

Agarwal classes for English.

Absolutely, it will be Loyola because it has world wide recognition.

Advanced Diploma in English for Business - Gain insight into today's successful business practices while learning the trade language of the corporate world.

TIME is the best coaching institute to prepare for CAT.

No you can not as you are in 1st year now. If you have completed your graduation, you can pursue both. One in regular mode and another one in distance mode is welcome but not two different courses are valid if done at the same time.

Dear,
Most of universities require BA English (Hons.) or English subject in all 3 years. You need to check the eligibility of particular university for the same.
You can do BA English (Hons.) through distance mode from different university simultaneously with your B.El.Ed degree.
All the best.