Equipment list--shopping for the necessary

I happen to have a family member that used to be a passionate climber and hiker, and even crossed the Alps in their whole length on his own (~6 months). Consulting him and searching the web resulted in the following need-list.

• Clothing
• quick-drying underwear (~7 pairs of socks--nothing is worse than uncomfortable feet!)
• thermal underwear (long sleeves and pants)
• T-shirt to wear
• pair of trousers
• set of dry clothes (shirt, underwear, socks) packed waterproof (welded in?)
• set of clothes for the cities
• long sleeved shirt
• warm hoodie 
• warm winter-jacket
• waterproof coat (windbreaker) & trousers (gore-tex if affordable)
• pair of waterproof, sturdy trekking boots
• pair of light, easy-to-walk-in shoes
• pair of waterproof gloves
• warm beanie
• scarf
• sunglasses
• Camping eq
• sleeping bag
• sleeping mat (as light as possible)
• something usable as pillow
• microfibre (fast-drying) towel (usable as pillow?
• weatherproof tent
• camping (gas) stove
• hand-washing agent
• elastic laundry line
• large trekking backpack
• waterproof cover for backpack
• Tools
• instep-crampons
• knifes
• fire
• torch + batteries
• trekking poles
• waterproofing wax for the shoes
• 3L water bladder
• pressure altimeter & compass
• mobile phone & Japanese sim-card& charger
• camera + 1 lens & batteries & charger
• Medical eq
• stretching bandage (to fix joints if injured)
• disinfectant
• plasters (of decent size)
• painkillers
• some kind of legal stimulant (maybe caffeine pills?) for emergency situations
• thermal blanket (those silver & golden things)
• tape to prevent blisters
• "compeed" blister plasters
• Misc
• Japanese phrase-booklet

A few details:

Our tent: my buddy is bringing along an absolute weatherproof tent, the "Ortik Jet Stream 2". That will do, even in the snowy mountains.

Vegan sleeping bags: I still have a down-sleeping bag from long ago, but my buddy doesn't. He hasn't decided on a sleeping bag yet, but when he does I will post the model and his experiences with it in low temperatures.

Instep crampons: are a kind of crampon that has only four (to six) spikes in the middle of the foot. They're not suited for ice-climbing, but give good hold on icy, muddy, slippery ground.

Vegan trekking boots: are not easy to find--you can't have any leather after all. After reading a handful of reviews I was convinced that Veggie Trekker Mk 4 by vegetarian-shoes from the UK will do the trick though (they ship around the globe, even to where I live). Let's cross our fingers, they certainly were expensive enough.

Waterproofing wax: some online research let us to believe this would be a good choice. I hope it proves to be so!

Trekking Backpacks: I happen to have a backpack that is older than me but still somewhat alive. I'll test it these days and decide whether I can do with this one, or it will break my back and I am forced to get a new one.