NIT

Yes, you can get admission in middle and lower order NITs like NIT Patna, NIT Jalandhar, NIT Jamshedpur, NIT Durgapur etc. You should apply for branches like IT, electronics engineering, electrical engineering, mechanical engineering, civil engineering etc. Getting CSE in NIT with this rank will be difficult. Although first preference should be computer science engineering, then all these branches.
Yes, in IEM he will get computer science engineering.
Best of luck.

Kindly use the college predictor tool to know more about in which colleges you will get admission, https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
And, if your AIR is 13,000 you can easily get admission in any of the NITs.

Hi,
You have a chance of getting seat in your desired college with your marks. If you want to know in which colleges you get seat please go through the link and choose the best college that is suitable for you:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
All the best

Hi,
You have a chance of getting seat in your desired college with your marks. If you want to know in which colleges you get seat please go through the link and choose the best college that is suitable for you:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
All the best.

Hi Rupay,
You have chance of getting seat in your desired college with your marks. If you want to know in which colleges you get seat please go through the link and choose the best college that is suitable for you:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
All the best.

Hi Rupay,
You have a chance of getting seat in your desired college with your marks. If you want to know in which colleges you get seat please go through the link and choose the best college that is suitable for you:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
All the best.

Hi,
You have a chance of getting seat in your desired college with your marks. If you want to know in which colleges you get seat please go through the link and choose the best college that is suitable for you:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
All the best

Hi,
You have a chance of getting seat in your desired college with your marks. If you want to know in which colleges you get seat please go through the link and choose the best college that is suitable for you:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
All the best

Hi,
You have a chance of getting seat in your desired college with your marks. If you want to know in which colleges you get seat please go through the link and choose the best college that is suitable for you:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
All the best.

Hi Krishna,
You have a chance of getting seat in your desired college with your marks. If you want to know in which colleges you get seat please go through the link and choose the best college that is suitable for you:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
All the best.