Over the past couple of days I've had what almost feels like a sore back. It's not actually painful, but it's kind of like a dull ache, like a tightness in the back which begins in the very lower back and sits right in the middle of the spine. I feel it most when I'm going to bed at night and if I walk for a long time.
Are there any exercises which would loosen my back up a bit? Its not bad enough to go to my GP for, and I think a bit of exercise will probably do it good.

If you're very tight, put a cushion under the knees to support them in a higher position. Lay there a good long time on each side. i find a give a little more every 10 breaths or so.