Hello Aspirant,

See it is little bit difficult to suggest that whether you will get seat in All India Quota or not because different colleges have different cut-offs for State quota and All India Quota. Also, cut-offs are bound to change every year depending upon numerous factors such as the number of candidates appearing in an examination, the number of candidates qualifying an examination, difficulty level of the paper, and so on.

According to the marks you have mentioned in the question your expected rank is in the range of 10918 - 13068. So if we check out previous years NEET cut-off trends for All India Quota then there are good chances for you to get government seat in some of the Medical Colleges.

To have a list of all those colleges which you can get based upon your marks, category, and state you can use NEET College Predictor:-

https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer

I hope this information helps you.

Good Luck!!