Engineering

Hello Rishab, It depends on the college. For a top ranking college, the admission cut-off will be even 100 or 150 marks higher than the qualifying cut off. For an average college, the difference will be lesser.

Yes, your rank is good enough to get admission here. You can apply for admission.
Good luck.

Yes, you can do engineering because in the first year only you have maths subject. So, if you focus you can clear these subjects!
Good luck.

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Check this college predictor by Shiksha.
Good luck!

Admission to M.Sc in computer science program is both entrance examination based and merit-based. Certain universities like Delhi University offer both direct admission and entrance based admission to the program.
Universities like Delhi University and Savitribai Phule Pune University, conduct entrance examination for admission to M.Sc. Computer Science. The Entrance exam is of 2-3 hours duration and contains questions from Computer Science, Mathematics and English Language. The test paper may be of subjective and/or objective type.

Yes, they provide good placement in CSE and mechanical also. If you focus then you can get placement surely. Good luck.