Hi Vinshupriya,
I understand that you have already appeared in the first round of counseling and wish to appear for the consecutive round so since you have not mentioned the name of the entrance exam so I am going to answer in general. You need to make your choices for the 2nd round of counseling and then wait for the results of the counseling to come out to see which college you got allotted a seat into.
Please keep in mind that paying the counseling fee is usually a one time process but there are some entrance exams in which you have to pay individually for the consecutive rounds of counseling.
You do not need to get your documents verified again if you have done so once after the 1st round of counseling.
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