Welcome to Beoworld Dave, and congratulations for starting with a great classic such as the Beomaster 900K! They are a worthy piece for any collection, and/or just for daily use as a really lovely table radio. That's indeed how I started!
The brown socket is for AM antenna & grounding lead - you don't need to use it for anything if you only want to listen to FM programs. The service manual is on site for silver & gold members, but you might not need it for this (and it may not be that useful, since there were numerous versions of the 900).
From both of the sockets, one round plug (and the vertical slot) should be connected to chassis ground. From the FM socket, the other plug and the horizontal slot is supposed to connect into a tuned circuit of one (adjustable) coil and a capacitor in parallel. Looking at the schematic, they are probably hanging "free" and not installed on a PCB. From the AM socket, the other round plug and horizontal slot are connected directly somewhere to the "aerial" switch on the front panel, I suppose you should find the loose connections somewhere.
Good luck!