Hey there, you have got 11129 ranks in Kerala and you also belong to OBC. Really it is very helpful for getting admission in government college as you can get a seat under state quota too. But with this rank, there are very fewer chances of yours for getting admission to veterinary as your rank is quite low for that. But you can try for the veterinary and confirm by checking the new cutoffs and apply there. 

I would rather suggest you check the colleges available for you at these marks at College Predictor at Careers 360 only and it will be very helpful for you while getting a seat there. It will be very helpful for you as it will show the best colleges available for you according to your category and even home state rank.

https://medicine.careers360.com/neet-college-predictor?icn=neet-clgpd_landing-page&ici=prediction-section_c360-home