Hi

You are definitely eligible for Neet counselling as you have scored 519 marks and with that score you have qualified Neet examination and thus eligible.

And don't worry even if you are you BA second, and you don't have class 12th TC and migration certificate,  at the time of admission if TC and migration certificate are asked you can submit TC and migration certificate of your college from which you are pursuing your BA.

Now that you are eligible for counselling abd admission,

To get the complete list of colleges in which you have chances, you can go through our college predictor at

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

It gives you a personalized report with top college in which you have chances for admission , with the help of predicted colleges you can make better choice while filling your choices of colleges during your counselling

Thankyou