IIT

Yes, you can take admission into M.Tech course without GATE score card. You can take admission in state technical university affiliated colleges by appearing for an entrance exam conducted every year by respective state university/colleges etc.

Clear GATE exam, apply for the college/PSU if you clear the cutoff you will receive call for the same.

Yes, it is possible, if you work hard and get a decent score in GATE. I think you can wait and you may get a chance in any of the good NITs.

Deeply clarify what actually you want to make your career. If it's maths, go for M.Tech. It's a higher qualification than any M.Sc. It gives easy placement and better job prospects.

Yes, you can take admission in IITs. You have to qualify JEE Advance in order get admission there.

Hello,
There are a lot of colleges to choose from. You can refer the below link designed by Shiksha, in which college ranking, their ranking, facilities all criteria are shown, follow the link:
https://www.shiksha.com/b-tech/ranking/top-engineering-colleges-in-india/44-2-0-0-0.

That totally depends on the pattern and difficulty of the paper and also the number of students applying for JEE. Percentile is calculated wrt to the number of students getting marks below the respective person whom percentile is being calculated. If the students will vary they percentile may also v

Hello,
Congratulations for scoring 95 percentile in JEE Main paper 2 You can get admission in New IITs, there may be chances of getting a seat in IIT, Kharagpur.

Apart from IITs and NITs other best civil engineering colleges are:
Thapar University, GNDU, Amritsar
GNDEC, Ludhiana
Chitkara University, Chandigarh
LPU, JalandharVIT, BIT-Mesra/Pilani Campus
You can refer the below link for other best civil engineering colleges-
https://www.shiksha.com/b-tech/ranking/to

You can refer following colleges:
Walchand College, Sangli
SGGS, Nanded
VNIT, Nagpur