Nope.
If it is compatible for Xbox 360 then you should be able to use it for the Xbox one. There shouldn't be any issues.
No, It will not save game memory.
You can format and use a USB flash drive as an Xbox 360 storage device and store up to 2 terabytes (TB) of content.
You can get xbox 360 test drive 2 unlimited exe files from the xbox to the laptop by using the Dropbox.
http://www.instructables.com/id/Use-your-laptop-as-an-XboxXbox-360-wireless-adap/
I recommend not to flash your console just use a emulator like xk3y or wasabi
If you have a laptop, then you can plug an Ethernet cord into the Xbox and then connect it into the Laptop. Test your connection on your Xbox and you should be set.
This is illegal and should not be done.
No you will need a transfer cable to get your memory on a new xbox. Alternatively you can configure an USB flash drive and use that as your memory system
For Grand Theft Auto: V, there will be an initial install on Xbox 360 that will require an Xbox 360 Hard Drive or an external 16GB USB flash drive with at least 8 GB of free space. If using a USB flash drive it must be at least USB 2.0 with a minimum 15mb/s read speed and formatted for Xbox 360 use. A new USB flash drive is recommended to ensure optimum performance.
no you could use modio for your xbox 360 with a flash drive