All useful situations in a Red Cross shelter - and if you're put to work opening boxes, helping in First Aid, or general maintenance I bet they give you a box cutters or other appropriate tools. I think the point of the Red Cross ban is focussed on those who are sheltered, keeping them out of their hands and reducing the incidence of injury through short tempers and long hours.

But I think your list gets a little hypothetical near the end - doubtful they'd want someone without an electrician's license splicing wires in a shelter, and I think they'd be happy to poke a hole in a water bottle for you if it helps you out. The one I can't say on is whether you're encouraged to set up makeshift curtains/privacy walls, that cuts both ways, both for privacy and safety of shelter occupants.