Jayviator,
Well, I was a back seater but here is my contribution. Firstly, the GR4 is (soon was) a software driven aircraft, so the functions of the different buttons varied with the software, which changed about annually. That having been said you are roughly correct. The central ‘China mans hat” is the trim. The right hand “castle switch’ controlled various display and menu functions. The trigger and the red, left hand, button both controlled weapon release. This too varied with software variant but broadly speaking the trigger released forward firing weapons and the red button allowed the computer to release gravity bombs. There was certainly one software release that allowed a trigger press to fire ALARMs and the gun simultaneously, giving you the possibility of shooting down your own missiles shortly after release!
The small button on the top and the two on the side control the Terrain Following Radar, Flight Director and Autopilot ( cant remember which is which but the sequence was Top/ bottom/ middle to disengage and Middle/bottom/top to reengage) These give the pilot the ability to engage and disengage the Auto TF using his / her right hand only as conditions change.
Hope this helps.
TL