Are there planets in the Zeta Reticuli binary star system?
Not that we know of.
Interesting question. The Zeta Reticuli system has a debris disc, essentially like the Kuiper belt. The Kuiper belt contains many comets and large asteroids and dwarf planets (like Pluto) and, mathematics predicts, possibly the 9th planet (10 times the size of Earth).
Since we cannot be certain that there is an actual planet in our own Kuiper belt, we certainly cannot be certain about the Zeta Reticuli system. It's debris disc certainly could have a planet.