Yes, There is a good chance for you to get seat in 3rd councelling. Try to check sastra website frequently . If you got another group also you can slide to your intersted department after first year. I am providing you the link of the sastra website. You can get lot of information there

https://sastra.edu/

Hey Ranjeeta

You can apply for PhD programs even if you have not qualified NET exam yet but  you will have to qualify the written tests and interviews of whichever collge you want to do your phd from. Moreover without any JRF you will have to bear all the expenses of your phd which is  a little difficult for most hence people advise to get a jrf first. All the best.

this college was founded in 1985 and is claimed to be one of the best colleges by many people

every essential thing is expensive there and it can range from hostel charge books and ailment charge to semester fee.The annual fee may end up near to 4,50,000.

they charge 15000 for books and other commodities which is very expensive 

Its main Kattankulathur Campus in Kancheepuram near Chennai is a 250 acres affair. A Central Library with vast resources, air-conditioned auditorium that can accommodate over 4,000 people, IT and Knowledge Management system supporting over 5,000 computer systems and IT applications of the University, 32 megabytes per second Internet Connection, modern Lecture Halls & "Smart Classrooms", wireless-enabled lab and campus, language lab - specializing in English, German, Japanese, French & Chinese, are only some of the academic facilities