Who determines which taxes will be leveled at the state and local level?
Every state has elected officials consisting of the governor of the state and state representatives. If we move further down to the local level , there are district representatives and mayors if the area is incorporated. Note, the state senators and state representatives are technically are dichotomous positions in that they serve both a state interest and at the federal level.
The level of government that is responsible for schools is the state, or sometimes local government. According to the 10th amendment in the Constitution, any authority not explicitly given to the federal government within the Constitution is then the responsibility of either the state or local governments.
by the state electoral map state or city/town levels ? the "local" ie: city/town level have a town committee made of the city/town districts ward/council district committee leaders while the state level is made up of a state political [ ie: democrat~republican ] state committee members selected by a state convention