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

Greetings from SHIKSHA.
Since all are the good Engineering Institutes in India in every terms. But Institute of Technology, Nirma University Ahmedabad will be better among these Institutes for Computing Science in terms like training education and placements.

Faculty, Workshops, Sports, Course, Exposure Opportunities, Internships, Placement and Infrastructure. Everything here at Chitkara University is best. So in a clear scenario, Chitkara University is better. Placement which is the ultimate goal, a lot of stress is paid on that. You will get many options to do your Master's degree overseas. I am not sure if YMCA provides you with all this.

You can get admission in IT or electrical branch.

Based on your rank, you might get admission in CE, but I can't say for sure. You should apply for it though as there is a chance that you might get a seat during spot round.
However, if you belong to a reserve category, then your chances improve significantly.

YMCAUST does not offer CSE. Instead, it has computer engineering which is more or less identical to CSE. Also, YMCAUST is ranked higher than DCRUST in Haryana, so if you have a choice, go for CE in YMCAUST.

If you don't belong to any reserved category, it might be difficult for you to get the mechanical stream. However, there is no harm in trying and if luck favours you, there might be some chance during spot round.

Apply online for Haryana counselling which is supposed to be starting in June. Carefully, go through the brochure provided on the website. Apply and pay (if required) for the reserved category.
YMCA takes applicants through Haryana counselling only.

I am sorry to say this but I don't believe you can. However, there is no harm in trying and if luck favors you, there might be some chance during spot round. You can also apply for information technology as your second choice.

Chandigarh University is the better option to pursue B.Tech in agriculture, it has a great infrastructure and great faculty members. It has high class facilities full Wi-Fi campus. Moreover, it has wonderful placements, 400 companies visited campus this year.
Good Luck.