In your model, the "deterministic" particles do not actually behave in a deterministic way, unless the thing sending them signals sends those signals in a fully deterministic way. But in that case, there's no reason to bother including it in the model.
Um, no. The model suggests that particles would be entirely predictable unless acted upon by an outside force. It doesn't matter at all if "signal-sending things" are deterministic or not. This "free will" wouldn't exist in the physical world, it's metaphysics.
If the pool table were the universe, the course of the billiard balls is predetermined until the shooter shoots. No shooter, no change.
If the solar system were the universe, the planets would be deterministic until the aliens blow up Jupiter. Aliens don't exist? Then the planets would be entirely deterministic for the full course of their lifetime.
If the universe were the universe, all particles are completely deterministic, unless spooky ghosts make magic. Whether the spooky ghosts are real is a question of gullibility.
