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Thanks for your question.
It's not illegal to use a fake name and profile on Facebook, unless, of course, you have stolen another person's identity, which would have other implications. Using a fictitious name and profile would violate Facebook's terms of service, which could result in you (or rather, your fictitious identity) getting your account terminated and banned from using the site.
Keep in mind that if you are bullying or harassing this other person on Facebook, it could rise to the level of a criminal offense. But again, in and of itself, it is not illegal to use a fake name and profile on Facebook.
Hope this helps.
The link in your post didn't work. It said "dangerous URL removed."
At any rate, it's probably best if you don't post a link to information from Facebook that you are planning to send to a probation/parole officer, particularly since it pertains to someone else.
I would, however, explain to the probation/parole officer that the Facebook profile you have created is fictitious. It would then be his/her decision regarding whether/how to use the information you've obtained in this manner.