@Matjaž2 I have learned with Airbnb, if there is an issue, contact customer service THAT DAY to advise them of your concerns so they are on record. I would call them and let them know the host is requesting payment for cost of electricity usage, etc, and that it is not in the listing. They will advise you how to proceed from there.
If it is not in the listing advising of these charges, then no you do not have to pay them. Never give a host cash, and everything should go through the Airbnb App (this includes any messages back and forth with the host) - never go through text messaging.