Check the cvt auto transmission works very carefully as they are expensive to fix if faulty, a transmission oil/fluid change is a good idea and a new battery if it is still the original 2002 fitted, as the auto computer is very sensitive to low volts. I would advise taking some kind of warranty out if possible if the potential cvt trans repair/replacement prices are likely to worry you.
I bet it has the same low voltage issues as my BMW. I'm currently driving a 325ci with the steptronic, The battery was going on it and cause all sorts of transmissions issues. Put in a new battery and the issues went away.
However if you looking at an 2002 R53 Cooper S then All Cooper S, from start of production (2002), had a traditional automatic transmission, not a CVT. The later 2007 onwards Mk2 MINI autos are also conventional type auto transmission.
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