According to my research, we still include a fixed adapter or CH cold cable with this article.

No idea By law, Galaxus must supply an adapter for this purpose.

I don't know which "white part" you mean. The beater or the small insert in the lid. But the service centre in Switzerland is run by Kenwood. Kenwood Swiss AG Lättichstrasse 6 6340 Baar Switzerland https://www.delonghi.com/de-ch/kundenservice/servicestellen I would contact you after the warranty has expired.

No. The appliance only has a cooling function. For yoghurt, it would need an additional heating function, but unlike other appliances from other companies, this one does not have that.

Oui. http://www.delonghi.com/fr-ch/produits/cuisine/appareils-de-cuisine/sorbetieres/il-gelataio-ick6000-0204513005

You can download the manual here http://www.delonghi.com/Global/InstructionManuals/FR/FR-5720410111.pdf