Having a look at https://www.wikitree.com/genealogy/Haskins-Family-Tree-2085 it looks like the only people not open and viewable are your father and brothers. I assume that they are alive and not on Wikitree. The guidelines at https://www.wikitree.com/wiki/Help:Privacy#Unlisted point out that anyone alive (Living Person) must be at an Unlisted (Black Padlock Image) privacy level.
That will be why the information for your father and brothers is not showing for anyone other than you most likely. If it is your sister (As a Family Member membership level) not being able to see them the solution is for you to add her onto the trusted list or as a profile manager.