[MENTION=227093]rifraf[/MENTION]
If you want to handlebar mount the Sony Live-View Remote that is the correct item.
The camera mount is specific to the HDR-AZ1 and requires a M4 x 5 socket head or button head cap screw to secure to the camera. Because of the small size of the camera, Sony went with a different mount screw than a normal tripod socket/screw. But the one you linked to is correct for the HDA-AZ1
If you are seat post mounting the camera, and have a 27.2 seat post, again you linked to the correct item. You will need an M5 thumbscrew and nut to attach the camera to the mount, this is the default hardware used to mount a GoPro, available everywhere in the world. The seat post clamp itself requires two M3 x 15 mm allen head cap screws as well as two M3 nuts, I prefer and suggest that they be nylon insert lock nuts so there is no chance that they will vibrate loose, ever.
All the K-Edge combo mounts can accommodate the camera, as for the Garmin Edge 1000 (I believe it does work if you have the XL version), you will need to ask K-Edge or look at their page linked here:
Garmin XL Combo Mount - K-EDGE
You do not need the last piece you linked to if you have a K-Edge Combo mount, you mount your Garmin on the top and the K-Edge already has a GoPro mount on the bottom.