B.Tech

You have great chances to get NITs if this is your All India Rank. The cut off scores based on caste decides your chances to get the top NITs. If you have scored way more than your cut off then you can get good NITs.
The caste wise cut off is:
General (OC)-81
SC-32
ST-27
PWD-1
OBC-NCL-49
You can apply for

The counselling will start only after the JEE Advanced examination.
The date for JEE Advanced will be at the end of May. So you have to wait till that.
May be the counselling for JEE will be from second week of June only.
Apply for counselling through www.josaa.nic.in

KITEE is the only university where you get CSE hardly, but except for CSE, you get other branches easily but the fee structure in KITEE is very high approx. 350000 per year, even I also get 13878 rank in KITEE.

B.Tech is given more preference than integrated courses.

Mining can be but I doubt about forestry as a career option and payment is limited on this sector. If you are planning to make a career in India better do B.Sc agriculture and apply under Indian Forest Service. For mining, opt Indian School of Mines-Dhanbad.

You can predict your rank and college with the help of the links given below:
1. Rank predictor: https://www.shiksha.com/b-tech/resources/jee-main-rank-predictor
2. College predictor: https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Wisdom School of Management is not a recognized institute and it cannot offer any program in full time or distance mode. You cannot do engineering in distance or part time mode you have to complete it full time on campus and need to appear for entrance exam.