Hello aspirant,

Your chances of getting a seat depend on  number of factors like the number of students appearing for the exam, the number of seats available in colleges/universities and the state you’re a domicile of. So, of course you should go for counseling rounds as the cutoffs can vary each year. I’m attaching a link for neet college predictor that will help you gain an understanding of the options you have 

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

Also giving you a link with previous cutoff trends for colleges all across the country 

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