Need replacement part/Won;t connect to cpu

I need a new gear head. I am very new to 3D printing. Will the 108 Toothed Geared Hobb fit my Mini 2?

Also it doesn’t seem to matter what cord I use or where I plug it in, the printer never wants to connect to my computer. Does anyone know how to fix that? I am on a laptop that should be more than capable of running it, but I could be wrong