M.A English

The admission to MA in English in DU is conducted through entrance mode, so you will have to give entrance. Then, they will allot you a college as per your entrance performance. And if it is not so good, then you will not get admission in DU.
You are eligible for the entrance exam of MA in English because the minimum percentage required in graduation is 50% from any recognized university.

Yes, you can apply for admission.

M.Ed. is the degree which can be done after B.Ed. only.
but M.A Education is equivalent to M.Ed. M.A education is a Two Year Degree and can be done after B.A.

First and foremost things you should know about the NET. There isn't any separate syllabus each subject for 1st paper. 1st paper will have a common syllabus for every subject either you opt any science stream or humanities. According to the new pattern of CBSE NET from the July 2018, there will be 2 papers in each subject. Previously, it was 3 papers for each subject. Now, the new pattern is, Paper 1st will be common for all. Only 1 paper from the subject that will be know as 2nd paper. For the English syllabus, please refer to the below given link:
http://www.netugc.com/ugc-net-syllabus-for-english
Hope this helps.

No, you can't apply this year. Try next year.

Sorry but with B.Sc degree you won't be able to apply for MA. You need to have BA (Hons.) in English to apply for the same.

MA English is offered as a full-time course in Rabindra Bharati University. You can search for other colleges offering correspondence course.