Dear Aspirant
At first congratulations for your result and best wishes for your future.
Analysing cut off and opening and closing rank trends of previous years I am afraid to inform you that you may not get any seat for MBBS in government medical colleges through All India counselling for 15 % seats  despite of OBC category. Based on previous year's cut off some of government medical colleges of West Bengal you can get through state counselling for 85 % states are

R.G. KAR MEDICAL COLLEGE, KOLKATA
North Bengal Medical College, Darjeeling
DIAMOND HARBOUR GOVT MEDICAL COLLEGE AND HOSPITAL
Institute of Postgraduate Medical Education & Research, Kolkata
Medical College, Kolkata
Burdwan Medical College, Burdwan
COLLEGE OF MEDICINE AND SAGORE DUTTA HOSPITAL, KAMARHATCOOCHBEHAR GOVT MEDICAL COLLEGE AND HOSPITAL
Check here further
https://medicine.careers360.com/articles/neet-cutoff-west-bengal
Predict your chances here

https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer

And coming to your second query you likely not t get start in 2nd round direct only in spot or mop up.

Best Wishes.

Hello....

Here below the link is provided sot hat you can fet full information about the West Bengal Counselling and about its  registration..

https://medicine.careers360.com/articles/west-bengal-mbbs-counselling

Hope this will  get clear about your doubt

Good luck!!!