Yep all of that with a LED screwdriverAs said, a volt stick, is certainly my go to/my first line diagnostic tool. If you know, and understand their limitations, they are invaluable - you can certainly rely upon one to test for live, what you cannot safely do, is rely on one to prove dead.
I regularly use one for finding breaks in flexible cables, and to confirm there is both a live and neutral available in a flex, plus some sort of earth, in a three core - you can follow the individual wires, in the flex, from the outside.

