OK this is going to be messy to describe step-by-step but here goes. Yes you can do it all on the underside.
Get a 1 µF capacitor and cut both its leads to about 8 mm long and tin the ends. Trace the track from IC309 pin 13 to R141. At the R141 end, melt the solder and add some new solder, and solder the positive lead of the 1 µF capacitor to that pad. Solder a wire to the other (negative) lead of the capacitor.
Find the other end of R141 and disconnect the resistor's wire from the pad. If you can't get to the component side and pull the resistor end out of the board, you can suck the solder off the pad using a solder sucker, then push the wire lead through the board using a sewing pin or similar. Then solder a wire to that pad.
Bend the 1 µF capacitor so it sits flat against the board and its wires will not touch anything nearby, then attach it to the board using hot melt glue (or at a pinch, a good sticky double-sided foam pad) so it is firmly fixed in place.
You now have two wires from the left channel, to connect to the aux input socket. The one from the capacitor needs to go to the left channel "NC switch" pin of the socket (the second-to-top connection point on the socket in the diagram in post #6) and the one that goes to the pad on the board needs to go to the left channel contact pin of the socket (the top connection point in the diagram).
Repeat the process tracing the track from IC309 pin 3 to R241, using a second 1 µF capacitor and two more wires. The one from the capacitor needs to go to the third socket connection point in the diagram, and the one from the pad needs to go to the fourth socket connection point in the diagram.
Then you just need the ground connection from the ground terminal of the socket to pin 6, 7 or 8 of IC309. And you can probably mount the four resistors directly on the socket.
Ideally you should use screened cable for the four signal wires, but as long as they're not too long, and don't go near the mains transformer, I think you'll be fine using standard insulated hookup wire.