How does a republic differ from the colonial form of government experience before the american revolution?

Prior to the Revolutionary War, the US experienced a colonial form of government, which differs from a Republic in several significant ways:

A colony is ruled by a foreign power. In the case of the US, this power was England. A republic, on the other hand, is autonomous, and it forms its own government. A colony is usually ruled by a monarch (it is not a necessary requirement, but it has been so in practice), while republics elect their leader through voting.  Republics tend to be democratic and participatory, with no inherited power positions. A republic has the power to make its own laws in terms of taxation, rights and duties, education, healthcare, etc. while the colony has to follow those of the mother country. Republics tend to have their own constitution.

In my honest opinion , i’d say franklin d roosevelt was a president that impacted our nation , i say this because fdr is voted among top three best us presidents and he was the longest serving president by 3 terms , usually presidents only supposed to have two terms increments of 4 years , equivalent to 8 years total before election time. and he established the fdic , through the 1933 banking act and he established the us , social security system , during his presidency, and established a national minimum wage , through the fair labor standards act , fdr led the allied coalition to victory in wwii and he played a major role in the creation of the united nations.