Hello! First of all - thanks for your kind words about the book, I am really glad you are enjoying it!
Yes, there was a wand on display, the box was signed by JK Rowling. It was on the shop of the WB Studio Tour, at least it was on 2016 when I visited it. I don't know what happened, I guess it was removed? I will try to find on my archives if I took a photo of it!