The upper table lists the Deities - but that list can be filtered by the Filter selection box below the table. Any Deity which has the War Domain should have a weapon listed in the Weapon column. To select a deity you must double-click on it. The lower table is where you can select your domains. When you click on the Domains column a list of available domains will appear. Once you make a selection the rest of that row will be filled in. Any feats or special abilities associated with a Domain will be conferred upon your character when you select it (e.g. Weapon Focus for the War Domain).