Colleges in Rohtak

 The admission is done on the basis of JEE Mains score and you must have passed 12th with 45% (minimum).

Master of Education should be (Two Years - Full-Time - Regular Course) as per National Council of Teacher Education, Government of India. Teacher Profession is a very competitive and Noble one so take time and pursue it later only when you can do. No compromise on Attendance. It's also life of Children of our Future India.

It will start in June 1st week. All the best.

Admission is through counseling based on the marks obtained in Entrance Test conducted by the Maharshi Dayanand University. 

Last date is June 15 2019 for PG admission. All the best.

The overall fees is INR 20,274.

Yes, they offer distant learning mode for almost all of their courses.

Here is the link for the details of this university
https://www.shiksha.com/university/mdu-maharshi-dayanand-university-rohtak-20576

Yes, you can apply for bed this year. You are eligible for the same.
Good luck!