I feel like the day I spent 20 minutes looking for my glasses – and they were in my shirt pocket the whole time. I’ve got to get out of the edit bay more.
Try using the motion stabilize filter on a handheld shot then apply the keyframes that are generated to the shot you want to shake. You’ll need to scale the size of the frame up a little to cover up the ratty edges.
If your logo is on it’s own layer, just select it in the project window. The size of the layer you just selected is shown at the top of the project window next to the thumbnail image of the layer.