M.Ed

As per the rules, you can't. One should take admission in the college immediately after the cut-off is released if it matches your best 4 marks. If missed, they won't give you admission in 2nd cutoff. One should take admission in the college immediately after the cut-off is released if it matches your best 4 marks.

MEd is typically of two years duration divided into four semesters. However, some universities/ colleges also offer one-year duration MEd programme. The course is offered in various subjects and specialisations. Candidates can pursue MEd in distance education and regular mode.
https://www.shiksha.com/m-ed-master-of-education-chp
here you go to know all the colleges that offered M.Ed.

In most cases, getting a Master's degree in a new field is very possible, and while someone with a Bachelor's degree from another field may have to take a few courses to qualify for certain master's degree programs, the career shift can be done.

It is not possible, but you can check the eligibility according to your category.

To pursue M.Ed, you need to complete your B.Ed first.

You can pursue M.Ed through distance mode such as IGNOU, MDU, etc. depending upon the eligibility criteria.

Minimum Qualification Required: Degree in B. Ed/ B. El. Ed. is a must.Minimum Aggregate: 50% to 60%, varies from college to college.

Yes, you can pursue Ph.D after M.Ed.