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Hi, Ember,
You can mention any group or item that is in existence. The trouble comes when you take their work as your own, or attempt to fundraise using other people’s property. Mentioning Star Wars is fine; using a Star Wars character as your own is not. To mention Star Wars or Star Trek (my personal favorite) is one thing. To use their story or characters is quite another matter.
So the line is pretty clear. Other people’s material belongs to them, and yours belongs to you. Having said that, I’m aware that there is all manner of fan fiction out there. It’s fine, so long as it doesn’t become a commercial enterprise.
OK? —GK—