When Queen Elizabeth says this, she is asserting that she has the same qualities and abilities to lead a country as a king does. Whether this is courage, leadership skills, a love for one's country, or wisdom, Queen Elizabeth is basically stating that queens are no less qualified to rule countries than kings. Hope this helps.
The political cicumstances around the latin revolutions against the European colonies reminded most American leaders of the American Revolution. As a result they supported these struggles.
