Is it necessary to take admission in a college after the first counselling?

This is my state rank,not score.

I am very sorry. Wait, I just get you updated answer.

Also, please mention your NEET score.

My neet score is 534

At this score, you will definitely get a seat of your choice in almost any college in state quota. In 2017, only Medical college, Kolkata had a higher cutoff than your score(569). Next to it, Nilratan Sircar Medical College, Kolkata had a cut-off of 523. All other colleges had lower cutoff. So, you see, you can easily get a seat.
All the best for your future.
In case, you want to see category wise cutoff of all the colleges in WB, click here.