The first is the actual master - the components confirm it.
The Bl/W and W/Bl will be in incoming pair, and the Bl/W, W/Bl & Or/W are to an extension which could be pic 3 or 4 (or the missing one), from there it will go to the next one which has two sets, then to the next and finally to the one in Pic 2 with just one.
It looks like CW1308 - phone cable.
Not an easy way to get a connection to the living room where you need/want it. If there is enough at each location to pull some more cable through to give access to Gn/W & W/Gn you may be able to daisy chain a data connection through - with a faceplate in the cupboard. Not the nicest and cleanest but would be better than multiple filters.
M H C
taurus excreta cerebrum vincit