Wellllll... my beard didn't fall out cuz i'm not a man. BUT i lost all my armpit hair quite early on from chemo. It grew back the same as before, but as you did, i shaved it. & now it grows back sparse & patchy. Also, i lost nearly all of my eye lashes, they grew back, but they've started to fall out again.
I know another lady that lost alot of hair after chemo, and she now is also loosing her chemo hair. So at least we're not alone!