Dear Candidate,

You have not mentioned your category, so I am supposing it to be general. According to the rank you mentioned, you may get admission to Pariyaram Medical College, Pariyaram. However, you can try for other government medical colleges also as the cutoff rank last year went to almost 6000. 

For more precise comparison of cutoffs, visit the link:

https://www.google.co.in/amp/s/medicine.careers360.com/articles/neet-cutoff-kerala/amp

Also, I would recommend you to use the NEET College Predictor: 

https://medicine.careers360.com/neet-college-predictor