#1) unfortunately i dont know any way to do this, but i can make it so you can double click on the tray to toggle it on and off, which would make it easier to use full screen when you want
#2) i agree with the switch, i will do that.
#3) i'll think about.. may i suggest one of the many utils that can hide system tray icons and collect them all to show in one menu - they are very useful for hiding tray icons you dont need.