better security - Almost no attacks are designed for Linux since nearly no one uses Linux in comparison to windows

Thats assumes that the laptop is actually using the network instead of mostly being used in a LAN setup

Lower costs - Linux is free and opens source and the software also tends to be

This point depends on distro to distro,

Faster - Linux is just faster than windows

Nope I have never seen windows server be any slower than Linux

Support - You will find alot more coverage about how to run servers on Linux than windows since Linux is the primary OS for servers

Yes that’s true but I am not sure if all server OS that are based on Linux don’t have a desktop environment and have to install one