Hello Swanitharsh !!

First of all you need to have residence certificate to participate in counselling. That is checked at document verification. Since your whole education is held at Telangana it is mandatory. For that your parents must be residence of AP for the past 10 years. However before 2014 Combined AP existed. So, if your parents lived in AP after 2014 then you can get residence certificate. If not your application will be rejected during certificate.

Leave about fee reimbursement you can't even participate in counselling without residence certificate. Even though if you get residence certificate you can't get fee reimbursement.

So, if you have written TS EAMCET , JEE MAINS or JEE ADVANCED go for it for whatever rank you got.

ALL THE BEST