then every mk4 i've done has had a dodgy door lock, which really wouldn't surprise me

b5/b5.5 passats seem to suffer the worst with the door lock faults though for some reason
either way with a correctly cut key and an immo chip capable of being coded (unless its immo2) its a quick job if you already have the skc. if the alarm is going off while you're trying to do this you have issues somewhere other than the key