Ok, so first- yes you got a bad mom. Something went wrong in her head and she isn't accepting the chicks as hers. This happens- and it's not like that is a bad hen forever- just something didn't "click" this time around. If she does it next hatch- then clearly don;t let her go broody any more. Either way, she has rejected them, can't put the eggs under her anymore.
As for moving them to another broody mama- yes you can absolutely do that and I do it all the time with mine (I have FOUR broody's right now with chicks, much to my dismay!). The catch is you need to sneak them under her (if she sees them before you put them under her she will likely not accept them!). Hide them in your hand, sneak them under her- its important the first time she sees the chick it is coming out from under her. The other catch is you need to sneak them under her right after the others hatch and dry- or else she may abandon the nest with eggs just about to hatch! So you'll need a heat lamp and container until then... and even then she may not accept them so be prepared to raise them with heat for the long haul.
On the dry membrane egg- you will likely need to help that one hatch if you want it to survive. Chicks can't cut the leathery brown membrane if it dries like that and will be trapped. If the others haven't hatched you may be ok on those still.