In your third photo:
Take a screwdriver with a small blade and pry off (carefully) the kidney shaped gray inserts, that will give you access to the screws that hold the compass in place, the other 2 screws are obvious.
It took me awhile to figure that out too.
We had a break in the weather this week (above freezing finally and not raining), so I went out to the boat to check on things and do a few jobs. DougM, I was able to get the two grey plastic pieces off and unscrew the two remaining screws. Thank you. One screw was loose (on the compass, not the operator) There is a gasket underneath the compass flange, presumably to keep the rain out of the pedestal, but the previous owner or Beneteau had also spread some silicone sealant around the area the base of the sun cover in the back and also through some holes underneath.
The primary reasons for wanting to get the compass off are to get at the burned out lights and to inspect the steering linkage. It turns out the compass has two pairs of wires for apparently two little lights, but they are glued in with the silicone goop. I will see if I can carefully get the silicone off in the spring. I'm not sure how to get at the lights after that. I can see from the underside that the sun cover can be removed from the inside of the round hinges by compressing the snap tabs. Perhaps removing the cover will get me access to the lights. Does anyone on the forum know?
The other reason to remove the compass was to inspect the steering. I can see there is a little bit of corrosion (or light-colored mold) on the outside of the chain but the joints and working surfaces seem to be OK. I will lubricate it in the spring. I'll have to see if grease or oil is recommended. I might be able to wipe some of the old greasy dirt off the chain but I can barely get my arm in there and there are a plethora of little wires for instruments, lights, and engine panel so it may not be worth the risk. I suppose I will have to use a long stick or tube to lubricate the chain if I don't get my arm in there, and if I do I'll have to do it by feel.
This work would be a lot easier if the boat had a tiller instead of a wheel, with a bulkhead-mounted compass.
Sandusky Bay and most of the area lakes and ponds are frozen, which is very early in the season for that kind of ice. Usually they don't freeze until after Christmas or in January. This weekend we're expecting a thaw, 20-30 kn winds, and maybe some rain this weekend so probably the ice will melt.