You should check with the state of Louisiana. It is likely part of your criminal history in that state as of now. However, you may have available to you some means of getting the arrest record/criminal history sealed or expunged. No one can answer your question without knowing what the disposition of the case was.
The information provided is not advice but a legal perspective and you should schedule a consultation with the lawyer of your choice.
I agree with Ms. Kemp that you should make inquiry in Louisiana about the status of this record. It should be reasonably inexpensive to have a criminal defense lawyer in New Orleans check the records and determine the precise status to the case and exactly what happened. That lawyer should be able to advise you about any way to clean things up if you do have a record there.
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You may have a bit of an advantage there, because I believe that Louisiana considers 17 year olds to be juveniles for criminal purposes (if that had happened in Texas, you'd be charged as an adult, and any resulting conviction would be a lifelong thing). I'm not completely sure about that, having never practiced law there, so you need to check with a Louisiana attorney on re subject. You should also be able to call the court that handled the case and ask them. If it WAS a juvenile case, they should refuse to confirm anything over the phone, and actually may or may not still have any records in existence to confirm. They'll at least be able to tell you whether at 17, you would have been considered a juvenile or an adult. You could also try reposting your question here, but giving a Louisiana location, so that Louisiana attorneys will answer it. But the only way to be sure is to hire an attorney to investigate exactly what happened with all that, so that would be my suggestion. Good luck.
To answer your question about whether you should answer affirmatively to the paralegal application's inquiry, the answer is YES, you should be honest and upfront about it. If there's anything I've learned in life, failing to disclose a past lapse in judgment--especially from your teenage years!--is much worse than the result you'd get if you just answered truthfully and explained that you were young and dumb and you learned a valuable life lesson out of the whole mess.
The above is for academic purposes and is not intended as legal advice. The response does not constitute the creation of an attorney client relationship as this forum does not provide for a confidential communication.