No amount proposed to be assessed upon any lot for the construction of any improvement or the acquisition of any property for public use shall exceed one-half of the assessed value of the lot. The total amount of all assessments levied on lots within the district for the construction or any improvement or the acquisition of any property for public use shall not exceed one-half the assessed value of all lots assessed or proposed to be assessed. Assessment amounts shall satisfy any further limitations imposed by Section 1.20 of the Administrative Code and Part 5 of Division 4 of the California Streets and Highways Code (Sections 2900 et seq.) or any preemptive successor statute.