JEE Main

The JEE Mains predictor link gives the colleges list for top - 50000 ranks. If your rank is higher than 50000, then you can look for other lists of engineering colleges. Admission to other colleges depends on your selection of colleges.

The maximum rank for DTU is 58537 for biotechnology outside Delhi students for the admission in 2017. All the ranks are below that. Hence, if you lie below that you are easily eligible.

It is quite tough, though not impossible as JJ COA accepts for top students with rankings below 500. Moreover, you still can apply as you stand somewhere there only. Also, you will easily get NIT trichy which is also a good college with the same reputation as JJCOA.

You will easily get a seat in one of the NITs with higher rank with CSE stream. Kindly fill the counselling form according to your preferences. Moreover, you'll get one definitely in Surathkal, Rourkela, Warangal and Trichy.

With this ranking, you will not be able to get an NIT as the marks seem lying around the cutoff. You should apply for state government colleges or autonomous institutes. Moreover, trying a seat in lower NITs such as Manipur and Silchar will not be worth it for distance education.

With a free seat, we can assume a seat with tuition fee waiver by the government. In private colleges, the scheme is dependent on their own norms and that varies accordingly. For government colleges, full TFW is given to ST and SC students. Moreover, there are some government schemes which also give scholarships to their state student with such good rankings. Kindly get through it. Thank you.

If you are from general category, then no, as all the government and semi-government colleges filter on the basis of JEE Mains marks.
Also, with these marks, don't take a government college if you are getting it, as it will not be worthy.
Choose a big private university for its placement or take a year drop.

No, just JEE rank can't be the base for admission in this university.

You can't go for admissions with a reappear. You need to present a passing result first.

https://www.shiksha.com/b-tech/resources/wbjee-college-predictor
Check the college you can get with your rank.
It would be better if you take admission through WBJEE rank as you will not get any college through JoSAA.
All the best.