Hey aspirant !!

Yes ofcourse you can do councelling in every round. There's no such a rule of percentile criteria for students. You can participate in all the up coming rounds.

Check the cutoff first for All India Quota Seats & State quota seats to go through with the given below link.

https://medicine.careers360.com/articles/neet-cut-off

Hope this helps you !!

Hey friend!

On the basis of your situation ; yes you can participate in second round but to get seat on the basis of your rank and category is not possible.

To get best possible colleges on the basis of your rank, category and home state . Then cuse rank predictor ; Click on the link below;

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

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

All the best friend!