Hello Aspirant,

Hope you are doing well!

Well dear taking admission in a college's counselling or not is completely your choice,there is no harm in skipping a college's counselling if you don't want to take admission in that particular college.

If you don;t like the seat assigned to you in the first round of counselling then you must wait for the other rounds result and if you get satisfactory college you may take admission through it else you may apply through WBJEE,COMED-K like other engineering exams,Also you may go for other state level counselling like Harayana,Madhya Pradesh,Uttrakhand etc

To know All the possible colleges under your JEE-Mains rank you may go on the link of the college predictor below:

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Hope this washlepful!

All the best!

Keep Smiling :)