Okay, so you know all the connection details in order to connect to remote MySql databases and yet the converter claims it can't make a connection.

In order to connect to your remote MySql database(s) you need to activate the 'allow remote connections' setting at your server. If 'allow remote connections' is switched off, a connection will never be made.

Using cpanel as a guide, navigate to your database section and select "Manage Remote MySql Access". At the following screen merely enter your home computer IP address as an 'Access Host'. To simplify things further entering a % key will allow access to your MySql database from any computer.

If you can't find such a setting your hosting provider should be able to help.