I don't know of anywhere in the world that has ever joined an Empire. Certainly Mozambique joined the Commonwealth (It was never part of the British Empire, it was Portugese) but by and large the British arrived & took, annexed, occupied whatever they felt they should & the Royal Navy, generally, defied anyone to say different. It was what happened in those days, I'm not saying it was right. I suspect someone stuck a flag, a Union Jack, into the thin soil of the Falklands sometime in the 1700s, but I dont know exactly when, but Britains' claim to sovreignity seemed to be upheld when Argentina invaded them, Las Malvinas, in 1980. I've just read a Captain John Strong landed there in 1690, but they have been French in their time as well as any Spanish or Argentinian claim.
In reality, Bermuda did not actually choose to join the British Empire. They islands were forced to join or be conquered.
The U S A never joined the British Empire.
It didn't the US was formed when it revolted against the British Empire
1894
1878
Canada didnt join it was fought over by the French and British in which the Brits ended up winning therefore becoming part of her empire.
1964
China never joined the British Empire. However, two small parts of China were part of the British Empire. Weihaiwei-1898-1930 Hong Kong-1841-1997
Scotland, Ireland Wales.
Most of them had no choice because they were conquered militarily.
Australia did not 'join' the British Empire, the British was the first westerners who set foot on Australia. They stuck the Union Jack down, and claimed Australia as theirs.
Jamaica came under British rule in 1655.