The three ice rinks in London that spring to mind are Lee Valley (which I think is newish), Stretham (which is of the right age for the one you describe) and Richmond (which was torn down in the late 80s/early 90s on the promise the developers would include a new one in the new development, but of course they never did ... :-( )
Sadly the Dell, if in good condition, wouldn't be worth the cost of a new battery (I can say this as someone who owns a P120, a P233 and a P500 laptop, of which only the third is really useable anymore ... I also have a much more modern laptop (new but cheap in spring 2007) which I'd be surprised if I could get over £200 for ... maybe macs hold their value better though ... sorry to sound discouraging, but you'll have seen the prices on ebay so you'll know what sort of prices you can expect ... good luck!
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Sadly the Dell, if in good condition, wouldn't be worth the cost of a new battery (I can say this as someone who owns a P120, a P233 and a P500 laptop, of which only the third is really useable anymore ... I also have a much more modern laptop (new but cheap in spring 2007) which I'd be surprised if I could get over £200 for ... maybe macs hold their value better though ... sorry to sound discouraging, but you'll have seen the prices on ebay so you'll know what sort of prices you can expect ... good luck!