With this rank you should be able to get a seat in a NIT or IIIT although you might not be able to get a good branch in the top NITs and IIITs. Although you can try in the other NITs where you might have a better chance of getting a good branch as per your rank. Hope this helps.

Yes there is a good chance that you will get a seat in iiit and nits. Congratulations for you got such a good rank and rest just apply for the special round and definitely you will get seat in iiits and nits for sure as many of the candidates shall be there who shall be going for iits and thus due to your category quota too you can get better chances