Circulating air and climate no longer work (Ibiza 6L, BJ 2004, manual climate)

Hello together, we bought an Ibiza 6L BJ 2004 as second car one and a half years ago. When buying a car a bit more money was invested in the technology, so that we should bring the car really easily 2-3 times over the TÜV. The climate (freshly filled) worked great at first. After half a year no cold air came any more. But pressure is still on it (if you push on the valves it hisssssss strongly). But it was striking that the climate light after pressing after a few seconds has elapsed. A little later I had the same effect with the reciprocating air button, where I have heard a unique adjustment. Meanwhile, the lights don’t do anything anymore when you press the buttons. When the climate is supposed to be switched on, you don’t notice that the speed is sinking / fluctuating. I therefore suspect that the compressor is not switched on at all. Since the reciprocating air button is in the meantime also without function (you don’t hear any switching and it lights up). Nothing), I also don’t recommend a problem with the compressor or capacitor (one of them was also quite new) but a problem with electrics/electronics. Do you have tips for me what I can check? With a multimeter I can handle and someone who can solder, I would also have. With an image, which control is installed and which two buttons it is about.