Lockers - yes you can put stuff there out of your inventory. I dont know if it is enemy equipment that it will stay or will it dissapear (eg if you steal a vehcile and decosntruct it or loot a corpse).
If you know how the bank system works in EQ it will be kinda like that.
Global locker - you have a locker thats unique to your character and whereever there are locker accessing facilities you will always access the same locker.
I understand about the no net connection same has happened to me, I only got back on the net beginning of Feburary after a break since last June. First thing I did was look up Planetside
