Hello Akash

First of all Congratulations on scoring such marks and i would like to tell you that a mistake in your birth certificate won't affect your admission in colleges because colleges checks your aadhar card too but you should probably get that corrected as that will be good for you . I am providing you a link that will tell you colleges according to your rank it's a really accurate and nice predictor so i recommend you to check it out . I will also provide a link that will predict your rank so look at it too

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

hope this helps you