What is the pre-configured name and instance information for the MySQL database?
What is the best method to backup the MySQL database?
With MySQL Workbench, you should be able to connect to the local instance by simply entering the local ip address and using the root username with the password you entered when you installed Connect.
As for backup, you can find more information here:
https://dev.mysql.com/doc/refman/5.5/en/backup-and-recovery.html