Roger,
What we were taught at the chalk-and-slate schools we went to, and what is correct according to the SI rules may be two different things. In SI it does not matter if a unit was named after Lord Kelvin or cousin Kevin, there's no capitalisation of unit names unless they would be capitalised for other reasons: eg when they are at the beginning of a sentence.
The symbol (it is not an abbreviation) may be capitalised, so the symbol for the kelvin is 'K', and the symbol for the watt is 'W', for example. As far as I know, the degree Celsius is the only exception, and that isn't a base SI unit, but a derived unit.
Best,
helen