D.A.V. College Jalandhar

B.Sc IT would be a more suitable option for you.
Eligibility
Graduation and a bachelors degree obtained through the 10+2+3 system or an equivalent qualification with a minimum aggregate of 50% or equivalent CGPA of any of the Universities incorporated by an act of the central or state legislature in India. A relaxation of 5% aggregate is there for SC/ST candidates.

That depends if there is a tie-up with your college and DAV college which permits lateral entries in the 2nd semester. You should check with the relevant authorities in your college whether lateral entries are permitted in the 2nd semester to another college. Being good in academics will work in your favour as it makes you capable of handling the pressures associated with transfers to a new college which entails getting used to a new environment, faculty, infrastructure, etc.

The procedure is different for different university. Most of the processing is online.
Some universities are taking admission by conducting admission test and some of them take admission by counseling process .
The counseling process should depend on your percentage of math in B.Sc.
Good Luck!!