Again without a lot more detail it's hard to assess your scheme. It sounds like rather a large house, just adding a pump may not solve anything. This 'plumber', is he the only one quoting? Is he planning on insulating the link 22mm tubes?
Is there any zoning or other control gear on the system? (At the moment, you can heat the extension completely independently of the rest of the house- different times, different temperatures. Without some zone valves or smart radiator valves you will lose that control, heating the whole house will always cost more than heating part of the house).