Ah! And you think that c is the correct answer?
I agree. "Around" and "available" do not have the same meaning. But in this context, this is the best choice. The director might be around but be too busy to see anyone. He might be in meetings all day, and so be unavailable. I think an argument could be made for "connected" - if we can't reach him by phone or by email, he is certainly not available. But I think you have chosen the best answer, and it's the only one that would make sense in the sentence.