Your rank seems to be quite good to get a seat in a government college. Kindly wait till the last round and do the counselling wisely.

I also wanted you to see the previous year cut off ranks of different nit and other colleges so you can make your prediction much better . Kindly take wise decision.

If you are a fresher kindly wait a year I am sure you will get a IIT next year .

Yes you can get seat in government college because you have secured the rank within the declared CRL RANK
FOR SC and ST students
Common rank is 111275
ST rank is 17256
SC rank is 34425
If you want to know more then click on below link
http://www.engineering.careers360.com/articles/jee-main-cutoff&hl=en-IN