NIT

With a JEE Main percentile of ~83, your All India Rank is likely around 150,000–200,000. Unfortunately, that's well above the closing ranks for B.Tech Biotechnology at NITs, which typically cap around 30,000–50,000 .So, no NIT is available for Biotechnology with your rank. Mechanical also would be out of reach. These branches close much earlier in counselling rounds.

You can study a 5-month online Professional Certificate Course in Data Engineering offered by IIT Kanpur after completing your graduation in a related field. For the NITs, none of them offer a dedicated Data Engineering course as yet, but you can have a look at related courses like BTech in AI and Data Science or BTech CSE with some elective modules on Data Engineering basics.

Yes, definitely you can pursue Masters in Technology M.Tech in Data Science from Indian Institute of Technology IITs and National Institute of Technology NITs through Graduate Aptitude Test in Engineering GATE because both the institutions accepts GATE entrance exam scores primarily for admission to MTech. There are some other colleges in Delhi who offers M.Tech course through Gate scores like Delhi Technological University DTU, Amity University Noida, Netaji Subhas University of Technology NSUT, Indraprastha Institution of Information Technology IIIT Delhi.

Yes, you can get some NIT which are situated near Uttar Pradesh which have low cutoff ranks including NIT Patna, NIT Allahabad and NIt Bhopal. You may be able to get branches like Civil Engineering, Mechanical Engineering and Electrical Engineering in NIT Patna or NIT Allahabad.

If you got 98.8 percentile in JEE Mains exam then it is considered as most best score 

The possible NIT names are given as following 

1 MNIT Allahabad 

2 VINIT Nagpur 

3 NIT Surathkal 

4 NIT Rourkela 

5 NIT Trichy