2 month warranty is irrelevant, the SOGA overrides anything there so you have 6 mths where the dealer has to prove the car was fine before you bought it, not you having to prove something broke. Haggle down as far as you can, take the spare cash and put it into a rainy day fund. Even £1K should cover most things going pop, this side of a complete engine failure which is hideously unlikely. These are very reliable cars, we don't really get any big issues on them.
It handles like any FR car does in winter, i.e. not very well unless the driver drives to the conditions. Some will insist you must put winter tyres on or you'll die, others (like me) just slow down a bit and understand that crap weather isn't the time to be hooning. It'll be fine though, just use your head and you'll be okay.
Unless you mean how does the physically survive when parked outside in the winter, in which case it'll be absolutely fine. This is no longer the 1970s, we don't have to worry about cars rusting away underneath us any more