If the owner of the mall says it's ok to park your unregistered uninsured vehicle on their property then it's OK. In this case the OP is renting the property and unless there is a clause in the lease saying she can't then it's OK . If there is a clause in the lease, then it still isn't a legal matter, but becomes a civil matter between the property owner and the tenant! The law that you read is not meant to include a stationary, unregistered, and uninsured vehicle. If that were the case every farmer in Louisiana would be in trouble!