Engineering

You can compare here
https://www.shiksha.com/resources/college-comparison

You have to show TC of class 12th, not of class 8th or class 10th. You may keep class 10th TC if required, but no need of class 8th TC.

For OBC - NCL students; if family annual income is less than 4.5 or 6 Lacs (not sure ) then you can get nearly 50 % scholarships in tuition fee. For more details regarding scholarships you can visit national scholarship portal on internet.

The eligibility for M.Sc Psychology-A student who has passed in BA or B.Sc Psychology Degree from a recognized university with minimum of 50% aggregate.
Students having any other degree such as Bachelor of Social Work (BSW), BA Sociology, B.Sc Home Science, BA Philosophy or B.Ed with Psychology papers.
Rest the course fees fluctuates between INR. 3,000 to 2 lacs.

Yes, it will be a good option. In EC, you will learn about electronics as well as computer. EC has good placement.