Colleges in Faridabad

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.

It changes year by year and according to the scholarship and cast.

Dear Sandeep!
That good college if you are not able to get government one. However, Great infrastructure for students who like innovation, technology and research. A 24x7 dedicated innovation lab for students are there. Campus life is vibrant and lively, and helps you in developing your overall personality. Ample amount of opportunities for students interested in entrepreneurship. Sports facilities like Shooting Range, Squash Court, Basketball, Cricket Ground, Football Ground etc.

Manav Rachna University for Law course is not good. One should not think to join this university. University does not have proper teachers and students are from nearby villages. Law is the worst course to do from Manav Rachna University.

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!