Cut/paste image, shapes and text at once?

I have a document containing an image, with multiple annotations over the top of it, in the form of shapes/lines/txt.
I want to move all components up slightly on the page, but when I select a line above it all and hit backspace, only the shapes/lines/txt moves upward, leaving the image in the same place.
This upsets/misaligns the annotations, meaning I have to go through and fix it all.

I wonder if there is a way to cut around the whole lot, then paste it higher up the page as one image? Some kind of selection tool perhaps?

I suspect you need to make sure all your elements use the same anchor type.