It is rather similar here, Bruce.
The RNLI (Royal National Lifeboat Institute) own and operate the lifeboats with volunteer crews. The Coastguard Agency is a government organisation for coordinating search and rescue work. There are also a few private 'clubs' which have taken over some of the old coastguard premises and keep watch from those locations. Some of them also have inshore rescue craft and do beach safety work with lifeguards.
Helicopter search and rescue work is undertaken by the Royal Navy who have some airfields at strategic locations.
It is the coastguards who have to organise these different organisations and decide which option to use in each rescue.
Many years ago, the coastguards were armed and used in anti smuggling operations but that resulted in problems when some people who were smugglers were also required for saving people from shipwrecks etc.
So the Customs organisation was formed to tackle smuggling and the coastguards reverted to working within local communities for preventing shipwrecks and saving lives when a wreck did occur.