Electrical and Electronics Engineering

You don't have chances. In 2017, round 1 cutoff was as follows:
For CSE: 202 Marks and ECE: 202 Marks.
Round 2 Cut Off:-
For CSE: 200 Marks and ECE: 195 Marks.
Round 3 CutOff:-
For CSE: 200 Marks and ECE: 194 Marks.
Similarly for EEE, so don't be disappointed. You have great chances of getting a seat in some other government colleges.
Best of luck.

It is not easy to get a seat in NIT, Warangal but yes there are chances. You should choose college list wisely. I wish you will be there.
Best of luck.

Take a look at the following link to get a brief overview of Placement Highlights at DIT University https://www.dituniversity.edu.in/placements/placement-highlights.

Yes, you are eligible to get admission in this college.

Go for NIT Warangal, there should be no conflict in between top NIT and a good private college.

For branch like EEE, you should prefer the top college. I suggest you to go with NIT-Trichy.

It seem difficult but not an issue, I suggest you to choose your college and branch list wisely prefer top colleges with top branches then lower branches then slightly low rank college with top branch and the low branch. It will help to get you to a good NIT.

You are supposed to get above 95% to get eligibility here.

To get the top most branches in this college you must score below 20,000.