The State Legislature, which serves as the legislative branch of state government.
It carries out laws
Dram shop laws are established at the state level.
In the US, they are on the State level.
The President signs bills at the national level, and the Governor of the state signs at the state level.
The highest ranking member of the Executive Branch of state government is the Governor.
The Legislative Branch makes the laws - the Executive Branch carries out the laws and enforces them - the Judicial Branch interprets the laws.
Federal laws are the same nationwide. This includes immigration law and federal level criminal laws. Any laws prosecuted at the state level are written by each state's legislature and are enforced and interpreted by state level courts, so they will vary from state to state.
There are none on a state level however many local governments do have breed specific laws.
Judicial on the state level
Enforce State laws.
There were State patent laws in Australia prior to Federation in 1901. After Federation the Federal rather than the State governments assumed responsibility for passing laws on patents
The publication of state laws is generally the responsibility of the state legislature. Most of them have a fully searchable version online, these days.