A:AnswerAs long as your laptop has working Bluetooth or a USB port, you can use this keyboard to type with it. I use it when I plug my laptop into a monitor and it works as expected.
A:AnswerThe keys to switch to different computers are separate from the function keys. There are 3 dedicated keys for computer 1, 2, and 3 switching above the Home/End/PageUp/Down clusters.
A:AnswerIf you select the lightbulb next to F12 (or fn+lightbulb if you have fn lock set) it will scroll between the various backlighting settings. The one you are looking for is called "static", but you can play with the others to see if you like any of them.
A:AnswerIt works on Linux for me. I haven't tried under xorg, but under Wayland with LibInput its fine. I tested both with bluetooth and the USB adapter.
You won't have Logitech's fancy App, but it shouldn't be necessary for basic functionality.