Nice catches, if they are really bugs.
Her action skill kills any units with hp 30 or lower, so yeah, it can hit your own units too.
I don't think her close skill should remove the 1 magic doll and not revive. it should leave that last doll in the cem, but could simply be a coding problem (since it does sound kinda complicated).
for the conditional on the close -> are you saying you managed to kill Noze 3 times? Because the first time it activates -> it makes her max hp 70. the second time, it would still go off cuz her hp is 70, so it would bring it up to 80. the 3rd time, she should just close, unless a max hp ss went off