JEE

You have completed your 12th from UK so you will be treated as domicile of UK and entitled for home state quota there. So there is no need of domicile certificate.

Your expected JEE Main AIR is about 467177. The JEE Main ranks below 500000 are good enough for B.E. Mechanical in asked college. Hence, you can get here.

Your expected JEE Main AIR is about 20156. The last year's closing rank at NIT Warangal in B.Tech CSE was 7516 in asked category under HS quota. So keeping the previous year of trends in consideration, your chances in the asked branch are moderate here. However, you have chances in the following branches:
1. Civil Engineering
2. Chemical Engineering
3. Metallurgical and Materials Engineering

Hi Amarjeet,
NCHMCT exam's last date to apply is 30th April.

Your expected JEE Main AIR is about 106081. The last year's closing rank in BIT Mesra under general HS quota was 115173 in Bio Technology, 87418 in Chemical Engineering (Plastic and Polymer) and 65269 in production engineering. Hence, you have chances here.