Computer Science and Engineering in Bangalore

Yes definitely you will get a seat in Amrita if and only if you belong to home state.

Dayanand Sagar College of Engineering is an average college for engineering. So, you cannot expect more from this college.

You may refer to the following link for the list of top B.Tech CSE colleges in Bangalore:
https://www.shiksha.com/b-tech/ranking/top-computer-science-engineering-colleges-in-bangalore/46-2-0-278-0.
The best engineering colleges in Bangalore for B.Tech in CSE are:
R.V. College of Engineering
Rashtreeya Sikshana Samithi Trust, Mysore Road Bangalore. The college is affiliated to Visvesvaraya Technological University. The admission is based on KCET and ComedK UGET.

It is an average college. Placements are very poor.

BIT, Bangalore is a far better option.

PESIT is the best in your given list for CSE Engineering.

It doesn't depend on city, it depends on institute

Try for RV college of engineering.

Please refer to following link for details of Engineering colleges offering BTech CSE with their admission processes: https://www.shiksha.com/top-computer-science-engineering-colleges-in-bangalore-rankingpage-46-0-0-278-0

For CET it is below 1500 and for COMEDK it is below 4000.