To change field names. Install the Say What? plugin.
It’ll add a new Text Changes menu item. Click Add New, enter the string exactly as shown in Connections, enter connections [notice the lack of capitalization, that's important!] as the domain and then enter your new text.
The great thing about using this plugin is that it will be update safe and you can use it on any other plugin that has been properly internationalized.
You can grab the latest dev build from Github. I suggest looking at the Hours extension at how to add custom fields. Several other dev are using the dev version on client sites, so it should the dev version should be mostly stable.
Hope that helps!