Panjab University

DU is central university, they have better exposure, better students because of cutoffs and awesome campus life especially in North Campus. PUs citation was ranked as the best in Asia. DU might boast of its high cutoffs but students at PU are better (atleast they aren't nerds). DU might boast of notable alumnus, but Dr. Manmohan Singh (one of the most intelligent Indians alive) is a PU alumni.

To get admission in Punjab University for humanities, the eligibility criteria is obtained a 50% marks in 10+2 for general and OBC category and 40% marks for SC and ST category and get 91% in board examination. So, you are eligible to get admission in this university. The admission process is done on the basis of marks obtain in 10+2 and entrance test conducted by the university.

Yes you can do B.Ed from correspondence university.

Hi,
You should also check the last year's cutoffs as these tools show you an approximate estimate and is not 100% accurate. https://www.shiksha.com/b-tech/jee-main-exam-cutoff.