A four letter word for 'don't go' is stay.
fire
goalgoatgodsgoesgoldgolfgonegonggoodgoongown
COME...come! dont go, come!
pass
rise
seek
Gone
here
COME
seek
You may be going for the word flit.
There is more than one 4-letter word that means "to go in search of."To go in search of:S for seekH for huntL for look