B.Tech Counselling

No, the counselling fee is not refundable.

You need following originals at the time of counselling:
Your counseling letter
UPTU score card
Your original marksheetsMedical certificates
Caste certificate
Domicile certificate
Income certificate

You have to clear cutoff for the eligibility for any state or Madhya Pradesh B.Tech counseling. No worries about attending counselling. A student did not cross cut-off mark means that he is not eligible to appear in JEE Advanced. If a student doesn't qualify, depending on his marks (after normalization), he is provided a rank, for suppose, let us consider the rank provided by you I. e.27000. With this rank, you can get a seat somewhere in an NIT (Though, not the best NIT, but just an NIT). You will be able to attend counselling and the only thing is that, you are not eligible for Advanced.

It is utmost necessary that you submit all the original documents, they won't give you your seat even if you have cleared the exam, and yes they can very well do that. If you don't have any original document don't panic, at the time of admission, you'll be given a time of 15 days to produce the document which you don't have.

For IIT, if you have qualified JEE Advance, then within the 15 days of announcement of Advance result counselling process will start. For private institution, there is no need to participate in counselling you can go direct and on the basis of your qualifying exam you can take admission. Best of luck.

No, there is no such exam. Moreover, IIT-JEE is only held only for central government run institutions across the nation.

AP-EAMCET 2018 College Predictor
Use your AP-EAMCET 2018 rank to see where you can get admission at the link provided below:
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The result is based on admissions data of AP-EAMCET 2017
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https://www.shiksha.com/b-tech/resources/ap-eamcet-college-predictor