Again, ''other matters'' weren't mentioned in the DOI. Being ignorant of history, you aren't aware that the DOI, while being a stirring document, its importance is acknowledged, but it is not the legal basis for the nation nor how the nation functions or what its limits are. That is, has been, and always will be the Constitution, and all arguments regarding what the nation is permitted to do is contained within that document (with a nod to expansion vis a vis constitutional amendments)Again, never mentioned in the Declaration of Independence, so it wasn't a grievance.
The British Monarch by 1776 was a figurehead. Parliament ran the country. The big complaint was 1) The colonies weren't represented, 2) They were making the rich pay their fair share for the war they started with France and the Native Americans, 3) They weren't letting colonists steal more of the Native Americans' land and 4) they were deathly afraid parliament would outlaw slavery.
They really didn't give a hoot about the Anglican Church.