IIT

It will be very difficult to crack iit jee without coaching as they teach you shortcuts for the various problems which you don't get in books. but as always people says that nothing is impossible so i suggest you to go through NCRT books deeply. try to underatand basic very clearly. solve as many questions as you can. books lyk arihant will give you good question to solve so that you can keep practising. all the best

Some of the good colleges in no particular order are:
DTU
NSIT
JAMIA MILIA
IIIT DELHI

That is a very amusing question, Harshit. It is definitely not the end of the world. Whether or not they are worth the hype, I cannot truely say. But I can certainly say that there are many colleges that give competition to some IITs, like Bits pilani, CSE at DTU and NSIT etc. NITs ofder very good career to their students by very good placements.

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For IITs Mention your board marks too.

check list of colleges on shiksha

No 2.5 years wont be a problem but ya work ex more than 3 years starts causing problems in placements and internships

The other best colleges for petroleum engineering are
ISM Dhanba
UPES Dehradun
PDPU Gandhinagar
MIT Pune
L.D. College of Engg Ahmedabad
RGIPT U.P.
You can any one of them. They offer good career opportunities.

You should have minimum 60% in 12th to be eligible for IITs. More over you have to cross cutoff score in JEE mains and get a good rank in jee advanced.