Just to clear up a few misconceptions:
NCLEX is a national exam, there is only one exam and it is good for all fifty states, plus US territories. You only take the exam once and results are valid for all states and territories.
There is no such thing as a state specific NCLEX exam.
It does not matter where you take the exam, it does not influence the questions that you get on the exam. Each exam is individualized to the person that is writing it. It is what is called a CAT exam. Each question that you get is based on the question before and how you answered it.
Only the NCLEX exam has reciprocity. There is no such thing as license reciprocity. You will need to endorse
to any new state that you wish to work in. You will need to meet the educational requirements of the new state, and they may be different from where you got your license initially.
Compact License is only good if you keep a legal residence in the state where you got licensed. If you move your residence, then the compact part of the license becomes null and void.
Hope that this helps.