SASTRA (Deemed to be University) Thanjavur Answered Questions

Yes you can get, if falls under the merit list. The SASTRA have two admission streams known as Stream-1& 2. Stream-1 is based on JEE Main score + 12th marks and 70% of seats will be filled under this stream-1.
Stream-2 is another entrance method which is purely based on 12th marks. The minimum required aggregate percentage for stream-2 is 60% for PCM. Here 100% weightage are given to 12th marks.
So you can apply here through Stream-2.

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
You can try this link once. Next counselling will happen or not nobody knows but can expect. However you can go directly to your preferred college for admission with your rank card. May be there will be a seat waiting for you. Good Luck. :)