You don't need an axe. Laplander saw and a mora will do everything you need.
Plus at least..
Tarp, guylines ridge line and pegs, bivi bag/hammock, foam mat, sleeping bag, bic disposable lighters, first aid kit, 2 mess tins and a stainless steel cup, cuttlery, water carrier, rucksack, cotton wool and vaseline fire lighters. Warm clothes. Wash kit. Torch; spare batteries
Plus at least..
Tarp, guylines ridge line and pegs, bivi bag/hammock, foam mat, sleeping bag, bic disposable lighters, first aid kit, 2 mess tins and a stainless steel cup, cuttlery, water carrier, rucksack, cotton wool and vaseline fire lighters. Warm clothes. Wash kit. Torch; spare batteries