Hi Power_Broker
Thanks for sticking with me on this
I've previously run a simple joystick sketch, which prints the A1,A2 and D2 inputs to the serial monitor, and everything works fine there - A1 and A2 give values between 0 and 1023, and D2 moves between 0 and 1 when pressed. I went ahead and soldered the connections at that point.
I've posted some photos of my hardware, but there's not too much to see. The LCD shield sits on top of the arduino, and the joystick is wired to 5v, GND, A1 (Y axis), A2 (X axis) and D2 (Switch).
I will do my best to try (1) and/or (3). I am learning the syntax as I go, though, so it may take a little while!
Lee