You really need an attorney in Arkansas to give you a firm answer but generally all states have access to FBI records which is a central repository of most criminal record information in the country. So a safe bet would be yes Arkansas would have access to the Louisiana conviction. But again consult with a Criminal Defense Attorney in Arkansas.
At some point his record in LA will show up in AR. At some point his bench warrant from LA will show up in AR. As the lawyer above said, their all connected. If he is out on bail he's lucky. That means the LA BW didn't show up yet.
Edward J. Blum