2. What is the story of Winston's mother? How is it connected to the image of the washer woman in the newsreel?

I assume that
you are talking about what 's mother does the last time that Winston sees her.  Winston has just
stolen his little sister's chocolate ration and is running away.  His mother draws his sister to
her -- gives her a hug, basically.

Winston connects this to the refugee woman
in the lifeboat (this is not the same as the washerwoman).  That woman puts her arms around her
child as they are being shot.  In both cases, they are showing feelings.  They are holding their
children even though they know it will not do them any good.  It is just a way of showing human
feelings (ones that the Party has been trying to drive out of people).