hi https://www.wowhead.com/item=12621/demonfork is a axe but is show to a possible warlock drop, only appear in account mode but warlocks cant equip axes

Account Mode means "everything your account can learn". So if you're in that mode, it is expected to see that weapon. You probably want to turn that off unless you're looking at your full Account's progress.

but check the image show the icons of warlock specs in the minilist and in the tooltip too

Those icons are pulled from the Blizzard API - not from our database, we don't cache them, we simply display what Blizzard's API says the item is useful for.

and same happen with other axe in tirisfal glades with priests is a bit strange with only happen with 2 axes

oh thanks