JEE

You need to give IMUCET exam conducted by IMU.
The last date has been passed out to 8th May so you can prepare for the next year as IMU conducts its CET twice a year
For further assistance, you may check:
imu.edu.in

JEE is better than EAMCET.

You can get into CCE-Chandigarh, JIIT-Noida, Shiv Nadar University, etc. with this score. Also, try in BIT, Patna and Deoghar extension.

You can get admission in JIIT-Noida, Shiv Nadar, Amity-Gurgaon, etc. You should try in Anna University, Chennai. AU takes admission on the basis of board marks.

NIT-Raipur, Government Engineering College-Raipur, Government Engineering College Bilaspur, Government Engineering College-Bastar, BIT Durg, Shri Sankracharya Group of Institutions-Bhilai, Rungta Colleges of Engineering and Technology-Bhilai and OP Jindal University-Raipur are the top colleges in Chhattisgarh.

I advise you to go for a drop, attend coaching and reanalyze your progress. JEE Mains and Advance has tough competition. Also, side by side explore your interests, i.e. do some short courses related to your interested field. If you opt for CS in future do learn C programming along. People are moving away from engineering due to limited job, if you end up taking mediocre college you'll regret. A gap year will cost you but will tell whether you are made for engineering or not.
B.Sc. now-a-days is also good option, academically as well as in terms of opportunity.

Hi Nivedhita Devi,
The JEE exam counseling will be held only after JEE advanced exam.
The official website is www.josaa.nic.in and the exact date for the counseling is still not announced.
All the best.

You can apply for both under one counseling.

You can also get in government colleges.

It seems quite difficult but still, try the college predictor:
https://www.google.co.in/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=0ahUKEwiemPTz9eXTAhXMRo8KHUM4DiEQFggbMAA&usg=AFQjCNEdcXmQi2OdKUdFdfXRk0v1xEEY5w