Hi ! Yes, you are eligible to undergo counselling or sit in the counseling process. It is only the question whether you will get it or not. Well, my answer to this question is no. No in the sense is that you have a fair chance which depends on vacancy. So hope you understand and best of luck to you.

With this rank it will be difficult for you to get admission in any of the NITs or IIITs and even if you are able to get a seat in any of the NITs or IIITs even then it will be difficult for you to get a good branch there. Therefore, you should try for admission in your state level engineering colleges and other private colleges for admission. Hope this helps.