The level that bronfenbrenner suggested that represents broader influences such as schools, places of worship, and local government is the

It is the Exosystem. 
The exosystem pertains to the links between a social setting that an individual does not determine or doesn't have an active/deciding role in and that social setting's affect on the individual's immediate context. It involves the broader influences that an individual doesn't necessarily control or even participate in that still affect their lives. The other levels present in Bronfenbrenner's ecological systems theory are: microsystems (the groups and institutions that directly impact an individual, ex: family, school, peers, etc), mesosystem (interaction with the different microsystems, crossing interactions, ex: the interactions between school and home, the teacher and parents, peers and home, peers and parents, etc), macrosystem (cultural context, values, patterns) and chronosystem (sociohistorical circumstances).