normally those round dots at the top are the usual Apple red, yellow and green...these (two only) are blank.
This part seems normal, as the traffic light controls are usually disabled in the StylePicker in my testing as well. It seems like there must be a hidden dialog awaiting input for some reason.
Test factory settings..
1. Close Band-in-a-Box.
2. Put a file called safemode.txt in the Band-in-a-Box "Preferences" folder.
3. Open Band-in-a-Box - splash screen should have red text "Safe mode" on it, and that confirms the name and location of the text file is correct.
4. See if the problem still happens.