Hi Geoff,
1. QWP UI doesn't provide any option to customize the export functionality but you can use a bit of js to do that. Your js code would look for the ID of the combobox and alter its items.
2. For document libraries you can copy/move items using the UI (see the docs for more details). If you want to have copy/move for a non doc library list then you need to write a custom action. Please check the docs for more details and also search the forum where I answered some questions bout custom actions.
If you have any questions please let me know.