Writing a counseling statement in the first-person perspective is not a problem. If the counseling does not contain the facts as they occurred then you have a chance to work through this issue with your chain of command.
If UCMJ was recommended and an adverse action flag was initiated it is common practice that you be informed, however it is not necessarily required. It is possible that your leave was rejected based on the adverse action flag. It is not uncommon for Article 15’s to take several weeks to process through the system.
You indicated you disagreed with the counseling. I would encourage you to write your rebuttal in an unemotional, clam, and professional manner based on the facts and provide statement from any witnesses you may have. Once you have completed this I would encourage you to see the Commander/1SG on open door policy to see if your side of the story is enough to stop any pending action. You need to understand that since you did not put your side of the story in the session closing box of the counseling statement the Chain of Command has nothing to go on except what the NCO wrote.