SMEAT

Hello,
You have really good score in your board exams and hence the chances of getting admission at Sastra University is high and the JEE scores increase your chances still more. But the branch which you could get is difficult to predict since the competition is more. Hence, you may try to get the branch you wish for at the counseling. All the best.

Yes, there is a high chance to get the government college in this category.

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
You can follow this.

Yes, you may get a seat in VIT, Amravati for mechanical or civil. You can get a good branch in VIT, Bhopal for sure. You must also have above 65% in your +2 in group subjects.

No, I am sorry to break it to you that you won't be able to get a seat at 55k rank in VIT, Vellore or Chennai campus. I would suggest you keep your options open and keep alternatives.

Hello SN Akhilesh, SASTRA admits students based on combination of the marks of JEE Mains as well as the 12th. In addition, weightage to 12th is 75% while its 25% to JEE Mains. As you have good score in 12th, I feel that you have a good chance to get admission in your desired branch.
Best wishes.

Please visit this link. This is a college predictor offered by Shiksha. I hope this will help you.
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Hello Sree,
With this cut off, it is really difficult to get Biomedical engineering at Anna University. If you belong to SC, ST, etc. then you might get but it is not possible to say with assurance.
Hence, you may try for other colleges or try your luck at the counseling to get CEG campus.
All the best.