[lacrew]

Are the British able to burn wood and coal for heat...or is that banned too?

Is freezing their only (self-imposed) option?

[USFRIENDINVICTORIA]

The average heating-season “room temperature” in Britain is lower than in the U.S. or Canada.

Here’s an interesting article on the topic (read the comments too):

http://www.bbc.co.uk/news/magazine-12606943

[Winniesboy]

Are the British able to burn wood and coal for heat...or is that banned too?

Yes, although the coal has to be treated ('smokeless') in urban areas. Worth pointing out that there are still huge unexploited stocks of coal in Britain, which won't be going away. However, by far the most common heating fuel in Britain is gas.