(1) A short-term rental unit marketplace shall register with the department for the collection and remittance of all the following taxes with respect to the consideration charged for the occupancy of a short-term rental unit: The privilege tax imposed pursuant to title 7, chapter 4, part 1;
(2) The privilege tax imposed pursuant to title 7, chapter 4, part 2;
(3) The privilege tax imposed pursuant to title 67, chapter 4, part 14; and
(4) Any privilege tax on the occupancy of a room provided by any hotel, motel, or similar establishment to a transient for a consideration, where the tax is imposed pursuant to a private act.
(5) Any tax collected pursuant to subsection (a) must be collected by the short-term rental unit marketplace and remitted to the department, in the same manner as provided by chapter 6 of this title with respect to sales and use tax. The tax collected pursuant to subsection (a) must be collected at the rate adopted by the city, county, or metropolitan government.