Axe,
Pretty much as Cy said on the pest front and I have never come across a water where the white clawed cray is a 'problem' although the anglers at Brasside seem to think they are for some reason (reading too many comics probably). When i fished it they weren't a nuisance at all and just wandered around in the margins at night.
About 5 miles from me is a power station which has been used as a nest site by peregrines for the last 6 years. However there are pigeon lofts nearby so the pigeon racers don't like them and want them killed, even though they mainly feed on the skemmies and wood pigeons around Blyth. Are these a pest then? I would say no because they are only returning to areas they formerly occupied before they were almost driven to extinction by man. we have also provided them with a suitable habitat in the form of an artificial cliff (the building) and plenty of feral and woodpigeons because of the waste we produce.
Slightly different are grouse and hen harriers. Game keepers would regard hen harriers as a pest because they eat grouse, which is only their natural diet in the first place. The almost went extinct and are returning to moors. Game keepers will want to exterminate them if the reappear on 'their moor'. What the hell do they expect if they are managing a habitat that is the habitat favoured by the secuies in the first place? Instead of thinking 'oh no they'll cost me a few grand in grouse' they should be thinking 'blolody hell we have hen harriers back so we must be doing it right to support a population of them'. Besides there will only be as many hen harriers as the grouse population can support, therefore if you remove grouse by shooting you will only have a small population of hen harriers, which live at a low population density in the first place.
Things like rats and rabbits are a pest as they aren't native to Britain. Rabbits can decimate habitats if left to run wild and are out of hand, however they do provide some uses on habitats like sand dunes where they help to maintain the vegetation type through their grazing (a complex thing that i won't drone on about for ages like I have above

)
Newt,
Yes I mean pollution free. Everywhere I have encountered the white clawed cray has been clear though.
As far as i know you can remove signals under licence/permission and you need this to try and prevent translocation into other waterbodies. The whole signal situation is being looked at at the moment by the EA and EN/JNCC.