Have you tested whether you had keyboard and mouse to start with(In the BIOS/UEFI)?
There can be an issue with Windows 7 and USB3 (Where it works in the BIOS but not in Win7)
See this tutorial http://codeabitwiser.com/2014/03/how-to-install-windows-7-with-only-usb-3-0-ports/ it mentions "The keyboard and mouse worked great in the BIOS, but as soon as the Windows 7 installation media loaded and presented that familiar Language Select screen, I had no cursor or keyboard.". The tutorial uses the DISM command.
This guy goes through that tutorial here https://www.youtube.com/watch?v=kgF6FUeKCqQ
Alternatively if you have a USB2.0 port then you could try that!
Or, Gigabyte have a tool https://www.cybernetman.com/kb/article/how-to-slipstream-usb-3-0-drivers-into-windows-7-installation-media And that would be easier to try than the tutorial that uses DISM.
I actually found en_windows_7_ultimate_with_sp1_x64_dvd_u_677332.iso was fine for me. But I have heard that you may need to slipstream drivers in or point it to drivers. And that link I mentioned shows how, and that video can help.
There is a part of windows 7 installation where it has a "load driver" option but I see you can't even get to that point with this issue 'cos you are stuck at the very first screen the choose a language screen. So it looks like those methods are the way to go. Your issue looks to be exactly what the tutorial describes.
In my personal experience, I haven't encountered this exact issue, but I encountered something once that looked a bit like that so I did run into some solutions re it, that I have mentioned here.