The fact that Certamen is a magic ritual working in its own highly codified way, means, I think, that you have a lot of leeway in houseruling away every complication which you do not want to cover in your narrative.
Certamen may very well be set up to work in its own pocket of the twilight void or the magic realm, where only the two contestants can enter. Even if the contestant carries his familiar and his talisman, it does not mean that they enter the magic pocket with him. Quite plausibly they simply cannot be used without another Hermetic breakthrough.
I kind of like such solution because it will save the troupe the time to debate how a given effect may affect the Certamen.
I kind of dislike the solution because my basic assumption that all activities benefit from the familiar cords. Not beneitting from the Golden core would be pretty harsh.
It is obviously possible to rule that familiars and/or talismans join the magus into the certamen space, while magic devices and other people do not. That gives scope to invent novel magic effects specifically for the purpose. And it also means that leaving the talismans and familiars out of sight, breaking many but not all magic benefits, may be part of the duelling conditions.
When it comes to people, I am sure certamen is frequently fought with a lot of spectators, but they, not even the apprentice, are magically linked to the contestants. They can attempt to distract the contestants, but I think most people would consider that to be cheating. I would assume that they could not magically affect the duel without a Hermetic breakthrough or equivalent.
An equally important take on your question is of course what is legal, given that it is possible, and what is cheating. Now, cheating is a very interesting story hook, and I think rules must be interpreted to make the hook work as well as possible. It would be very interesting to see the hook and the interpretation spelled out together ...
In short, I do not think careful reading of the rules is going to give any useful insight, but poetic analysis of the story is.