There are quite a few crown territories and protectorates. They recognise that they are too small to be totally independent on their own, but need the support of the UK or like Norfolk Island need the support of previous Empire members. read more
Well yes, but not if you count the British Overseas Territories, of which there are 14 (including British Antarctic Territory, where you'll find Mount Jackson). The remains of a once vast empire, they are a relatively measly collection of remote outposts. read more
Wikipedia has some lovely just right stuff on the overseas territories that could nonetheless be regarded a part of the "British Empire". Places like Bermuda, Turks and Caicos, Gibraltar, Pitcairn, Cayman, St Helena, the Falklands and so on. read more