I have got 13000 merit rank so can I get admission in thakur college of engineering for Extc and IT

Kindly predict your college through this college predictor. The rank predicted might not be accurate, but it certainly gives an idea to the aspirant. https://www.shiksha.com/college-predictor

Yes you can easily get this college at this rank and score but not sure that in the first round itself you might get in the last round also but you can get this branch.