Hey,

With 586 marks, you may get a rank between 10248-12898. You can check it here https://medicine.careers360.com/articles/neet-result-marks-vs-rank

Last year, the last rank to get a government medical seat under 15% All India Quota for general category was 12611. Based on this, you may have a chance to get a seat through AIQ. It is important to keep in mind that cut off varies every year depending on the number of seats available and the total number of qualified candidates.

You will surely get a seat in government medical college under 85% State Quota of Odisha. Last year the cut off rank for general category was 31348. You can check here https://medicine.careers360.com/articles/neet-cutoff-odisha

To get a complete list of colleges in which you have a chance of getting a MBBS/BDS seat, you can use NEET College Predictor https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer