(A) A board of health of a city or general health district shall transmit to the director of health all fees or additional amounts that the director requires to be collected under sections 3701.344, 3718.06, 3729.07, and 3749.04 of the Revised Code. The fees and amounts shall be transmitted according to the following schedule:

1. (1) For fees and amounts received by the board on or after the first day of January but not later than the thirty-first day of March, transmit the fees and amounts not later than the fifteenth day of May;
2. (2) For fees and amounts received by the board on or after the first day of April but not later than the thirtieth day of June, transmit the fees and amounts not later than the fifteenth day of August;
3. (3) For fees and amounts received by the board on or after the first day of July but not later than the thirtieth day of September, transmit the fees and amounts not later than the fifteenth day of November;
4. (4) For fees and amounts received by the board on or after the first day of October but not later than the thirty-first day of December, transmit the fees and amounts not later than the fifteenth day of February of the following year.