As revealed in "Triptych", Batman and other six Team and Justice League members have formed a secret group as a means of contravening the Light by using their own methods. Miss Martian, Aquaman and Wonder Woman are part of it and the reaction of the latter two to Batman's defection was staged. The other three members are Nightwing, Oracle and Robin. Between the seven of them, they coordinate six teams of heroes, none of whom are none the wiser to their scheme.
Why is Dick apparently keeping Oracle's tech support a secret from Artemis?
As revealed in "Triptych", Nightwing and Oracle are part of a secret group of seven Team and Justice League members that coordinate six teams of heroes, who are not aware of this. Oracle provides tech support for each team leader.
It is revealed in "Nightmare Monkeys" that the soul of a dissected Motherbox entered Halo's previously deceased body and therefore she gained all of its knowledge.
Why does Halo have a "special relationship" with Sphere?
It is revealed in "Nightmare Monkeys" that the soul of a dissected Motherbox entered Halo's previously deceased body and since both Sphere and Motherboxes are living machines from New Genesis, Halo was able to connect and bond with Sphere.
It is revealed in "Antisocial Pathologies" that Helga is a deluded scientist who was part of the Bedlam Syndicate who believes that the children she turns into meta-humans are "her" children. In the case of her daughter, she never had children and it is revealed she saw the newly turned Tara as her daughter and wanted revenge on Bedlam for taking her.
Is Helga Jace planning to do something with the hair brush she used on Violet?
It is revealed in "Antisocial Pathologies" that Helga was working for Bedlam and previously experimented on Violet, but found she was negative for the Meta-Gene until she saw her powers. However, Helga took the hair as a sample and found Halo wasn't her creation.
In "Early Warning", Helga claimed to have found out that Violet was "dying", but in "Antisocial Pathologies" she confesses that she tested Violet's hair to confirm whether she had the Meta-Gene or not. As it turned out, she didn't possessed the gene.