Colleges in Rourkela

Yes, you can. It's based on JEE Mains rank.

NIT Andhra Pradesh is also a very good college. First, choose your interested branch. If you are interested in Civil or Mechanics or Chemical then go for NIT Rourkela or Suratkal or Varangal which are better than Andhra Pradesh Tadepalligudem NIT. But if your interested in CSE or ECE and you can't get a seat in those NITs then go for Andhra Pradesh NIT.

NIT Trichy for sure.

It's EE in NIT Rourkela not EEE, and it's definitely more advantageous because it has the top tier college factor with it. You can make career in Qualcomm and other semiconductor companies in EE branch of NIT Rourkela too. Many students get placement in it.

Yeah, definitely you can take admission here. You will be able to make international relations in this college. Also, it's one of the top tier college of India so you will definitely be in a good position here. But if you get better branch in your home NIT(if it's good) then you can better opt that.

Hello Sruti, I can understand your angst and the anxiety. To help you I am attaching a link that can predict the course you can get based on your performance in this exam.
https://www.shiksha.com/engineering/jee-main-college-predictor
Best wishes to you.