Hello Aspirant

Yes , you can apply for both counselling process. JEE mains counselling is free so you will not have to pay the registration fee, But after getting a seat if you want to accept the seat then you will have to pay seat acceptance fee.

You can use these link to find colleges based on your rank :-

for JEE https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp

For TS EAMCET

https://www.careers360.com/ts-eamcet-college-predictor?utm_source=qna&utm_medium=ini-cet_cp

Hope it helps.

Best wishes to you :)