AEEE

Yes, you can get. The open quota ranks below 5000 and State quota ranks below 12000 are good enough for admission in asked college for B.Tech CSE programme.

With the above said rank, there will be slight chance that you will get admission there.
For more details kindly follow the link:
https://www.shiksha.com/college/amrita-school-of-engineering-Coimbatore-36898.

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

Your rank is good. There is a chance to get this college.

Yes, with 10000 AEEE rank, you have chances to secure admission in Amrithapuri campus in ECE.

Kindly predict your college in this college predictor. JEE Main rank predictor is an online tool which predicts the candidates rank range and probable colleges based on the difficulty level of the examination, average marks scored in JEE Main and seats available in IITs, NITs, GFTIs, and other SFTIs. The rank predicted might not be accurate but it certainly does give an idea to the aspirant. Know your college admission chances based on your JEE Main Rank, Home State, Caste, Gender, etc. here:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

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

Its depends on your college but your fee may be 40-50k for this course.
Good luck.

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.