I know there is a sequence the batt reconnect but have never tried or know of the method......... If somebody could shed some light on that.
Not really a sequence. Make sure the ignition is off. Then disconnect the lead closest to the bumper. A small spanner is needed to undo the grip on the round terminal. No need to touch the other terminal. Leave for 1hr.
Doubt if this will work but it can't do any harm as long as you have the code for the radio.
When you turn the ignition on don't initially start the car until you can't hear any clicking or whirring going on. This is the climate control calibrating itself (i think). Once all is quiet start the car but don't touch the throttle pedal. Leave the car to tick over for 10mins. This has nothing to do with the aircon but resets the throttle position sensor (maybe). Lots of people claim this procedure can pretty much fix anything!
My aircon behaves in the exact same way as yours. I have presumed it is because my car has no gas and so the compressor never actually runs despite the light on the controls illuminating. Check your compressor. You should hear it engaging on the aux belt and even get a little fluctuation in engine speed as it starts. My thinking is that no gas is enough to put the climate control in a spin and hence I only have hot or cold regardless of the outside temperature. That is: you would assume that if it is 10oC outside the air con wouldn't be needed to operate an internal car temperature of 18oC. However, I think the compressor is needed or your only options are hot or cold.
I'm happy to be proved wrong on this as it would be nice to set the car at a temperature rather than swapping between 17 and low all the time without having to find and repair the leak in my aircon.