Hi Bob
Can't help you with the rabbit and mouse queries and I'm not sure what I can bring to your bat query, but here goes anyway!
What did the bat sound like? Keeping it straightforward - pips make a 'smack' or 'slap' noise, myotids (Daubentons, Natterer's, Whiskered and Brandt's) make 'tick' noises (usualy at a much faster rate than pips) and noctules make a 'chip-chop' noise (longer calls delivered at a much slower rate than either pips or myotids.
What frequency was the sound loudest at? Common pips are loudest and deepest in tone at 45kHz or so, 55kHz for soprano pip. Myotids have a very wide frequency sweep that starts above 80kHz (over 100kHz sometimes) and goes down below 30kHz. They don't really have a loudest
frequency, their calls sound pretty much the same all through their range.
Noctules are loud and peak in volume and are deepest in tone about 21/22kHz although they will often create harmonics that are found in the 40s.
Where was the bat flying? Pips and myotids typically feed between water level and 2-3 meters above, noctules are large bats and typically fly straight(-ish) at tree-top height with dips down as they pursue prey.
'Dark coloured and it doesn't half shift' covers all British bats and I dare say most in the world.
Useful advice on using bat detectors and bat call examples at
http://www.bats.org.uk/nbmp_tutorials/detectortips.htmNick