Hello Christian, yes, the FlightStick fits LS. You can assign the buttons as you like, set them up as you like, but it takes a moment until everything is just right. My set-up consists of a steering wheel, farming console and the FlightStick. This way you can control all the devices with the joystick as you like. It is to be recommended!

Driving a tank is possible with it (e.g. in BF you can program each key individually)... I think it will also be enough for tractor :-)

Hello. Unfortunately have not tried