Engineering Entrance Exam

you can download gate syllabus from website of any IITs or Isc Bangalore. You should solve last ten years question papers. if you are good in self study than no requirement of coaching. You just get help from your college teachers or friends. Made easy, ES master and GATE forums are good name in coaching.

you can go for GRE or TOEFL exams to get admission in masters across the world. Most of the country accept this two score card in the admission of master and PhD.

Use the links mentioned below :-
https://www.resonance.ac.in/jee-main-answer-key-solutions/jee-main-2016-rank-predictor.php
https://www.shiksha.com/jee-mains-college-predictor

No your 11 marks is low as well as jee marks. No chance for gov college try in private

There are many colleges which conduct their individual entrances for M.tech admissions. Some of the good M.tech entrances are: BITS HD Admission Test (BITS Pilani), UPESMEET (UPES), TANCET(Tamil Nadu Common Entrance & VITMEE (VIT Master's Entrance Examination). UPES next round of UPESMEET Entrance cum interviews is currently going on in various cities across the nation. You can apply for it online. Check out website of other institutes as well and apply where registrations are still open.

no everything will be online no calls will be given

yes definitely you can

the CBSE will use the total % for jee mains ranking

no the board marks won't matter for jee mains next year so its of no use

try private college no govt college will take you