Clicking sound is the solenoid working, starter won't turn over the engine as the brushes are worn out or not connecting with inside of the starter through a build up of waste carbon dust.
There is a seat lock on the LHS side of the bike just below where the front and rear seats meet.
Turn the key clockwise and remove the rear seat. Now turn the key anti clockwise and remove the front seat. If it doesn't release, just put a bit of pressure on the rear of the seat (or bang it with your fist) while turning the key.
Your starter bendix possibly needs cleaning. Unfortunately these are sealed units and can only be dismantled and re-assembled with specialized equipment. They can be purchased loose.
Have a look here: Starting
This is the part you are looking for:
2013 R1200GS does NOT need any special equipment.
Just bleed as you normally would any vehicle. The special equipment is only required on GEN1 ABS units pre 2007.
The R1200GS motorcycles do not have fuse boxes. It is controlled by the CanBus system which has electronic fuses. When one is tripped it automatically resets after 15 minutes, but will trip again if the associated problem is not resolved. Error codes are stored within the ECU and will tell you exactly why the fuse tripped.
The most likely cause is the fuel pump controller. It is positioned under the cover just left of your instrument cluster, on top of the fuel tank. These units are not repairable and it will need to be replaced. this is what it looks like.
There is a light out on the front of your bike, could be a parking light, turn signal or headlight bulb. Turn on ignition and check the lamps on the bike, then start the engine and check the headlights.
Do you have the owners manual for the R1200GS? The warning indicators are described in the manual.