The pop sticks are not harmful, though some can splinter so I think it's time for a wooden or willow chew toy. The ink cartridge may be a health risk. Try to feed her very wet greens and have her drink lots of water if possible, and eat a lot of hay. You're trying to make whatever she swallowed pass asap. Keep an eye on her and if she has any symptoms of pain (grinding teeth) or unusual lethargy, maybe get her checked by a vet. She should pass anything harmful within about 8-12 hours otherwise.
Yep. Bunny proofing is hard at first, but you get used to decorating Bunny Modern after a while.