Coimbatore

You should be in the top 100 in order to get a scholarship in any of the campuses.

Yes, you can get easily. 572 is a good score. You will get a call from both universities as per my experience. Definitely, you will get a call from Amrita. MAT score 500 was also called during my time in 2017. You will surely get a call. Don't worry you will get admission wherever you want. Good Luck.

Please use college comparison tool
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/resources/college-comparison&ved=2ahUKEwil3JiW4bHiAhXc4XMBHatKA1gQFjAAegQIBRAB&usg=AOvVaw3y5SpvbIBeIOXTZhH2ugyJ

Yes, you can get a seat in Coimbatore University if you clear the cutoff. Therefore, you can apply for this.

Hello Ajith,
With this rank, it is difficult to get ECE at the Coimbatore campus of Amrita University due to heavy competition. You can try your best at the counseling to get the branch you wish for. The link below gives you the details regarding the fee structure:
https://www.amrita.edu/admissions/btech-2019/fee-structure

You have a good score, but as far as I know, Amrita University doesn't offer free seat for this rank. To know the details regarding the allotment process, you may refer:
https://www.amrita.edu/admissions/btech-2019.

Hello,
Yes, you can get CSE branch Indus College. You will get it at the last round of counselling. So, do prepare your backup chance, if you are not getting CS in this college. I hope it helps all the best.