Hi,
you have some problem with conditions and permissions.
Condition problem (screenshot 1)
As you can see in first screenshot from field "Usergruppe" in Easy Profile backend:
Condition 1: You should delete this condition, because it not make a sense: show Usergruppe field if Usergruppe field is equal to """"?!?
Condition 2: you should remove the quotes ("

, so it come something like if equal to custom value skipper then add to usergroup skippers
Permission problem (screenshot 2)
Now all registered users can edit all profiles, default joomla configuration was all parameter set "Not Allowed (Inherit)", you can change these permissions from Administration->Users->Options (button at top right)->Permissions (section)