Hey.
The cut off for admission in WBNUJS, Kolkata in the previous year 2018 for the State Scheduled caste category Was an all india rank of 5275. Considering this and your AIR you will have a chance of Admission in WBNUJS under the SC category only if your AIR is around this range. Your chances for admission here are not much as the cut off is really high considering that it is among the top NLUs.
Keep in mind that the cut off varies each year due to several factors like level of Competition etc and it might differ this year too. You can use the link below to check  previous year trends.
https://law.careers360.com/articles/wbnujs-kolkata-cutoff/amp
Best of luck

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