WarLight is primarily played with the mouse. However, some hotkeys also exist to make playing faster:
A – Advances to the next phase.
Q – Goes back to the previous phase.
Z – Commits turn (once on Confirmation phase).
Multi-player is available at WarLight.net!
To issue attacks that wrap around the map (such as Alaksa to Kamchatka), you have to zoom out so that you can see both at the same time (zoom buttons are in the bottom right corner of the map). Or you can click one, then click More Info, then select the other from the list.