Just first remove the whole (zoom) capture button group out of the camera body after you have removed the 2 srews that connect the capture button group to the body (these 2 screws are already removed in the picture). Then you can work on the capture button group if you want to or just replace the capture button group as a whole.
It is not really necessary to remove the whole flash group in order to get to the capture button - you only need to unscrew the lower part (1 screw) and then you can remove the black parts (not fully, but far enough) to uncover the capture button.
This seems to be wrong. Only 2 screws connect the lens to the camera body - if you unscrew the others, you open up the lens and there is no need to do so.