B.A

Yes, you can do B.Ed after completing your BA Degree
But, you must have to pass your graduation degree with 50% marks.
Some universities which offers best B.Ed Programme are-
-Delhi University,
-St,Xavier's of Education, Mumbai
-Aligarh Muslim University, UP
-Mahatama Gandhi Kashi Vidyapeeth, UP
-M.S.Ramaiah College ,karnataka
-Acharya Jagadish Chandra Bose College.

DU has always taken the best 5 subjects for calculating cutoffs. You can get admission into a south campus college, in 2nd / 3rd round if seats are left because most of the seats are already full in the 1st round. Good luck.

Candidates seeking admissions to the course must have passed their class 12th examination in Arts or Science stream by securing good percentage.

Well, my advice would be even if you could, you shouldn't. The course is very vast with practicals which will overlap and exam datasheets which would overlap. Next thing it is not allowed anywhere in any university. You can read the eligibility criteria to get answer.

Hi,
You may get a good college of DU. You need to keep a check on the cut-offs for it.

Refer the link:
http://ggdsd.ac.in/under-graduate-courses/b-a-general/

Yes, you can apply as per your interest lies in any field. You can opt for anything.

Go for BA simple, because ultimately you want to go for IAS, so it is better to study the base here only in BA.

Hii Gurseerat, To calculate your best of four marks - you have to take the highest marks you got in subject and can leave the lowest marks subject. For say you have the lowest marks in history then you can leave history marks and just calculate these subjects ( ENGLISH CORE, HOME Science, PAINTING (FINE ARTS) & PHYSICAL EDUCATION ) marks.