Temperature display and air conditioning

Hello municipality, since yesterday I have a problem with the air conditioning on my 97er 2,3l Scorpio. It does not start, i.e. the switch lamp works as if everything is ok, but de facto the climate compressor does not start, i.e. there is nothing to hear that it turns on. At the same time I have for a long time the problem, that my temperature indicator rises perhaps briefly to the middle, but otherwise nevertheless on normal journey – no matter whether on the highway m The average to high speed or in the city or on the country road – only at the lower end of the scale dumps in front, sometimes just above the blue range goes up to the lower part of the white normal marking, but falls again after about 10 seconds. After a short service life, e.g. with a slightly longer red phase at the traffic light, the temperature indicator rises up to the middle.It doesn’t matter whether the climate is switched on or not. rlüfter usually run very easily with the switched on climate, but switch off as soon as the climate is switched off. At summer temperatures it takes of course accordingly longer to switch off – as far as everything is normal, I think. I had already suspected the temperature sensor, but now, where the air conditioning suddenly seems to no longer work – air conditioning service was made only a few weeks ago, so it can not be – I also think about the Water pump, after all, the car is now almost 12 years old and has run almost 173000. Know Wapu problems actually only in the sense that the temperature suddenly shoots up and can hardly be gotten down again, had the problem with my Scorpio I from 1988. That took weeks until they found the error at that time, because it always appeared sporadic. However, it was – as already mentioned, too hot. The problem is not now. Maybe you know jem and from you advice and can give me a hint where that might be. – I am grateful for any reasonable suggestion. Greeting Lutz