Drat! I wrote "go and fetch a plate" rather than "go and get …" I've suggested this may be acceptable - is it not the same thing?? What do others think? Though I suppose, technically, fetch = the whole phrase, go and get/bring back?
I'm not sure fetch should be accepted, since it carries a connotation of getting one for the speaker whereas I think the intended meaning is
more open i.e. it might be saying to get a plate for yourself.