“Counsellor” is mainly British spelling and “counselor” is the usual US spelling for the shared advice-giving sense; some US senses are specifically recorded under counselor.
For the raised edge of a road, Cambridge documents US “curb” and UK “kerb.” The verb and noun “curb” meaning control or limit are separate senses and are not changed to “kerb.”
Cambridge uses “disk” for information-storage devices and also records regional variation for general circular-object, media, and body senses, where “disc” is common and often mainly UK while US “disk” also occurs.
“Draft” has independent senses such as an unfinished version of writing. For several other senses—including a current of cold air—Cambridge documents UK “draught” and US “draft.”