Lupo walks in the warm condition

Hello dear Lupo municipality, we bought a VW Lupo 1.4 MPI 60hp as a second car in early November. The Lupo ran 74500 km and according to the previous owner it was renewed at 70000km of the timing belt + water pump. Unfortunately, the Lupo started to cause problems about 2 weeks after the purchase. I have read through with these problems already in some forums and also a few things renewed. The following problems occur: Restless idle (500U/min) with warm engine (in cold engine quiet idle (800-900U/min). When consumers are switched on the speed decreases further. Motor goes off and off in idle run. The water temperature indicator comes down and does not remain at 90 degrees. It commutes depending on the driving wind between 70-80 degrees. Heating works perfectly. Consumption is about 9 liters/100km What I have renewed : ignition plugs + ignition cable + ignition divider throttle cleaned + base position at VW made oil change + filter There is nothing stored in the error memory (have a small reader for the error) My guess is defective?