Some people who try it do lose a couple of pounds, but they mostly put it all back on when they go off it.

Dr. Atkins suggested the fat fast only for people who were metabolically resistent which means can't get into ketosis In another thread you have said that you were in deepest ketosis for several weeks so the Fat Fast doesn't seem to be recommended in your case.

--Have posted menus so people can see what you are eating?
--Are you eating the veggies?
--Are you eating enough calories? If you go too low, your body refuses to drop any weight and hunkers down to try to survive the famine it thinks is happening. feed yourself into losing by eating lots of protein & fat foods along with the good carbs in veggies & salad.
-- Are you exercising so that you could be gaining muscle while losing fat, but the scales stand still for now?
--Have you previously been on low cal or low fat ways of eating? Your body could be making repairs to muscle tissue that are long overdue. So you are gaining good muscle while losing fat.