Electrical problems with my 850 TDI

My 850 TDI (500,000 km run) has been having the following problems for a couple of days: -It glows, even if the engine is warm – the engine temperature indicator immediately goes to “middle– normal operating temperature, even if the engine is cold. – the first 500m runs faster, like when the engine is absolutely cold (it also makes it again after a stop of 5 minutes) – the fan of the cooler runs constantly. The car usually runs quite normal, (100 km / day) coolant level is OK, it seems to be something with the electrical system. Who has had the problem before?