IIIT

Hi, it's not possible to get any IIT or NIT. The only option you have is to try for private colleges only. It's very hard to get any government college.

Definitely you can get and with state quota you will have more chances.

It all depends on the state in which you live
if that state has a decent mid level NIT then with the help of state quota you will sure get B.Tech in it otherwise chances are sleek.

Some of the Good NIT's that you can get with 24K rank in CSE branch through JEE Mains are listed below :
National Institute of Technology Arunachal Pradesh. National Institute of Technology Meghalaya. National Institute of Technology Sikkim. National Institute of Technology, Manipur.

It depends upon the JEE Main and JEE Advance cut offs, If You manage to qualify the exam by achieving the cut off, You can apply for JoSAA Counselling. It should be noted the cut off for EWS/SC/ST/FEMALES/OBC category is lower than the general category
If you manage to qualify JEE Main Cutoff, You would be eligible for JEE Advance which is the intake exam for IITs as mentioned above.

Well, it will be quite difficult for you to get into NITs with this rank. You should have mentioned your home state too. Following are the NITs you may get into if you have the home state quota. NIT Meghalaya
NIT Manipur
NIT Mizoram
NIT Durgapur
NIT Arunachal Pradesh
NIT Puducherry
NIT Nagaland.

If you got 94.6 percentile in the JEE Mains exam, then you have more changes of getting seat in the NITs and also you are eligible to write the JEE Advanced exam also if you qualify in the JEE Advanced then you are having chances of getting seat in the IITs in India. Hope this helps you.

IIIT does not have seats for international student. But you can try under NTPC quota and contact the IIIT administration for more information.

Yes definitely you can.