Not sure what you're asking here. TMO adjusted the F keys to the same config as was normal in SH3.
IIRC they are as follows:
F1 = Help screen
F2 = Command room
F3 = Attack Scope
F4 = Bridge
F5 = Map
F6 = Attack Map
F7 = Crew/Sub Status
F8 = Message Board
F9 = Conning Tower (where Sonar and Radar are located)
F10= Deck Gun
F11= AA Gun
F12= External view (depending on realism setting)
What are you referring to when you say "double-clicking the mouse". Double-clicking where, on what?