Do witches use wands

If a witch decides to use their finger, then yes. The use of a pointed finger, knife (Athame), wand, or other object actually symbolises the drawing of the protective circle, or the imbuing of objects with energy. The entire ritualistic process is the spell "casting".
Witches use their minds and will to cast spells.

All the rest, fancy/made-up Words, gestures, tools and costumes are unnecessary.

That does not mean that they can not be used, just that they don not need to be used.