The right pin are both ground, connect it to the nearest ground plain, they're all shared, you can connect anywhere.
The left one, follow the trace to the nearest connection.
(Left pins) Check with the multimeter from the place you want to connect, to the original ring, they look ok though, so you won't need to bridge.
If you plan to do this into the future, You need a Soldering pump (soldapult 3) and a temperature controlled iron.
Watch for sales on the 888 hakko, they go for $65 at frys through google chkout.