The sentence feels wrong as incur is a term that requires an agent who can work – incur the fee. As it is currently stated the transitive verb “incur” is being applied to an object that is incapable of agency.

Translating a word that implies or states the presence of an agent ie. I understand an agent in a similar way, in a similar manner, also with the same character in different languages. If you used “Usage” to each statement would make them logically correct because it is then clear that the user incurs the fee and the date is a line of logic. – ie. – on the application site by ie ie. “Usage of the heater will incur a monthly fee” or “Users will incur a monthly fee”.