re: Anyone receive a notice from La Dept of Public Safety about their car insurance?

If you don't pay this (or clear it up), your current state will eventually find out. States do share this info, albeit very slowly. Eventually they will get a code in their system and you won't be able to renew or get a new license in your state until it's cleared in LA. Happened to me from an old fine in TX last time I went to renew my LA license. They didn't know what it was for only a code and a number to call in TX. Luckily it was less than $100 I owed to TX, so rather than spend time on it I paid it and it was cleared. Had to be at least 2 years old of whatever fine it was.