Dreamweaver and Security Assist use the mysql_pconnect() funciton for connecting to the Database.
The error is saying that function is deprecated in your PHP Version.
To use Dreamweaver database connections and Security Assist in your PH environment, you will need to contact the host to have them enable the mysql library in the php.ini file so the mysql_pconnect() functon can be used.
they should also set the error reporting level to not show Deprecated messages.
We will be updating Security Assist to use the suggested MySQLi library in the near future, but for now, the mysql library needs to be used.