Are the nocks oriented so the cock feather (the odd colored one) is pointed out to the side when the arrow is on the string or is it straight down? It needs to be out to the side on a flipper type rest. If that's okay, then raise your nockset by about 1/8" and it should fix the problem. Also, make sure your flipper is flipping.
To fix the feathers, hold them in the steam over a pot of boiling water, just long enough for them to come back into shape. Make sure the feathers aren't leaning against anything while they're drying and they'll be good as new.