J. C. Bose University of Science and Technology, YMCA

Yes MBA finances are available
There are criteria for it. Please refer to YMCA site.

I am from YMCA itself, but pursuing my B.Tech.
Frankly telling, YMCA is top class university for engineering, but for MBA it is establishing right now. So, in my advice try to do MBA from other well-known brands.
MBA in HR is really good now days.
You should try to take it.

Surely you can get admission
Just fill the form available on YMCA site
Entrance tests are also there so prepare for it and definitely after qualifying you can get admission into it

Entrance exams are conducted for M.Sc and B.Sc Candidates.
B.Tech Candidates get admission through JEE Mains.

For general category, it is really impossible to get admission in YMCA with that rank. But, if you belong to reserved category, you can still have chance to get the admission.
For IPU, it is possible that you get college but not that you wanted because rank is too much.

Yes, you should fill the form of LEET, as you could get the chance to be in the top most College of Haryana by it. It is as per the percentage in your Diploma year, plus some internal test could also take place by YMCA University.

JEE Mains 2018 College Predictor
Use your JEE Mains 2018 rank to see where you can get admission at the link provided below:
See the courses, colleges & rounds you may crack
The result is based on admissions data of JEE Mains 2017
Get resources & insights on colleges & courses
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm_medium=CR_JEECP&utm_campaign=7476690
Just Follow the Link. Hope this helps, Best Of Luck!

Yes, college have right to take tuition fees as they are exempting you from giving examination and attending classes.

No, YMCA University takes admissions only by shortlisting students on the basis of their rank in the JEE exam. If you haven't given JEE exam then you aren't qualified to even apply for this university as in the application form itself they will ask you about your marks and rank in the exam and failing to provide the same wont let you complete the form for submission.