Mass Communication & Media

Hi Subhamay,
Firstly SXCKOL is an autonomous college registered under CU and it's not a university.
Yes, you can get admission form of both SXCKOL and St. Xavier's University, Kolkata. Here I guess you are asking for form of SXCKOL. Go to the link
http://www.sxccal.edu/admissions/SXCAdmission2017/UG2017/default.htm you'll get the form very soon.
Your interest matches with mine. Subhamay, unfortunately, SXCKOL doesn't have any such course and you can hardly find any college or university which offers a course on sports journalism in all over India. I think there is an institute in Pune which has the course and Sheffield Hallam University is the best sports journalism institute all over the world.
What you can do is get admission in the course called B.Sc mass communication & videography in SXCKOL or any other college which offers B.A. journalism & mass communication or bachelor in media science. Some colleges provide specialization in 3rd year of a bachelor degree, there you can do sports journalism or after graduation, you can choose an institute which has sports journalism as the specialization to pursue your PG.
I think the above mentioned information will help you.
Lastly, you can't be a WBBHSE student because no such governing body exists. It's WBCHSE. Ours is Council not Board.
All the best.