JEE Main Percentile

Quantum University Would be a good choice.
The education and specialisation is good along with good entrepreneurship.

Your NTA score is very less. It is hard to get admission in the government college with this score. Yes but you can try with your state level counselling. If you can score better in state level counselling then you can get admission in government college.

Getting a college is not easy with this rank. However, you can get a seat in CSAB.

Considering you are a PWD Student, with 31 percentile, you have a very good chance to qualify JEE Main and be eligible for JEE Advanced.

Considering you score of 86 Percentile in JEE Mains Examination your overall rank will comes around 143220 - 161000. With this Percentile your chance to get seat is quite low.

Chances of getting Integrated M.Sc. Courses are high at NIT Warangal.

NIT Warangal is difficult. However possibility can be developed for integrated M.Sc. Courses. The following are the other options.
1. NIT Srinagar (Civil)
2. PEC Chandigarh (Civil)
3. NIT Andhra Pradesh (Chemical, Mech, MME)
4. NIT Hamirpur (MSE)
5. NIT Raipur (Chemical). .

Based on the JEE Main CRL, the following can be the options.
1. Sant Longowal Institute of Engineering and Technology, Sangrur (Chemical, ICE)
2. IERT Allahabad (Civil)
3. Gurukula Kangri Vishwavidyalaya, Haridwar (Mech)
4. National Institute of Electronics and Information Technology, Aurangabad (ESE)
5

Your chances of getting NIT Calicut are moderate.

Just go through this link and fill out the required details:
https://www.shiksha.com/college-predictor.