The lord propietors, even tough the kind had full sovereignty over Carolina, were given some Powers to ensure to collect taxes and duties, establish civil structures and to keep order, also they could own some mineral field, they were avalaible to have some independent at some point.
The goverment of these colonies consisted in: A governor, a council and a populary elected assembly.
The goverments under propietary rule were similarly organized, the best know difference was who appointed the governing oficial, in these case could be the Lords Proprietors or the sovereign.
The Virginia Plan addressed the issue of representation by promoting the idea of representation in Congress being based on state population size, as opposed to having a set number of representatives per state. The issue was eventually solved with the Connecticut Compromise.
Because it is more than 5,000 years old.
Local, state, and federal government all play a role in making sure education is provided.