Hello,
When you start to record with Debut, a message will show up letting you know that the debut window will be minimized while you record so it will not interfere with what you are recording, but there is no way to set up a key on your keyboard to click to minimize or maximize the window.
I´m not sure about the second question I do not understand what you want to do exactly.
You should not have to do anything for video and audio to synchronize when you record with Debut audio and video should be synchronize, if this is not happening then there is something not working properly (which does not necessarily mean is the program, it could actually be the setup you have for the device you are using to record.)
If you think you have this issue or need more information you can create a support ticket for NCH technical support here:
https://www.nch.com.au/support/index.html 
Good Luck!